[BB] All Known Formulas

Can someone please help me with this?

Bow:
1.2 multiplier * (4*DEX + STR) * (Attack/100)

First of all, some basic questions:
My bow is 142 att and has a potential bonus of 9% att. Does this 9% apply to my bow only? Or to my total from all of my equips/buffs/pots?
It also gives 6% dmg, does this apply last? (I'm going to assume it applies last, correct me if this is wrong)
Is the %dmg bonus included in the damage range shown in the stat window? (Again, I'm going to assume it does)

Okay, so I have currently:
670 TOTAL dex (what it shows in the stat window. (base + equip bonuses + potential bonuses))
109 total str
and
[1] (142+9%) bow + 15 other equips + 4 red arrows = (142*1.09) + 19 = 174 attack
OR
[2] (142 bow + 15 other equips + 4 red arrows)+9% = (161)*1.09 = 175 attack

I swear these are my totals, I went through all of my equips twice, no hidden attack bonuses

So, my max damage should be:
[1] 1.2 * ((4*670) + 109) * (174/100) = 5823
5823 * 1.06 = 6173 (from +6% damage) <-- not sure if this applies
OR
[2] 1.2 * ((4*670) + 109) * (175/100) = 5857
5857 * 1.06 = 6208 (from +6% damage)

And with max bow mastery (I'm lvl 114, so I don't have bow expert or any other 4th job skills that give attack bonuses), my damage range should be (15% + 50% = 65% mastery):
[1] 4012 ~ 6173
OR
[2] 4035 ~ 6208

Neither of these values match the damage range shown in my stat window:
4373 ~ 6727

Why?

I'm trying to make dps tables for my own reasons with 4th job skills, so this is important.

Thanks! Any help would be appreciated.