11/35kgtd Late Pos. AJs facing Raise

[ZSebag]

Wondering if this was a bad play on my part. Had about 1/3 the average chip count. Figured it was a push or fold hand. Do I end up in a coin flip in this situation enough or was this a bad play.

PokerStars No-Limit Hold'em Tourney, Big Blind is t100 (9 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

UTG+1 (t4600)
MP1 (t9850)
MP2 (t3250)
MP3 (t8910)
CO (t5295)
Button (t6420)
SB (t1350)
Hero (t2285)
UTG (t4210)

Preflop: Hero is BB with A[img]/images/graemlins/spade.gif[/img], J[img]/images/graemlins/spade.gif[/img].
<font color="#666666">2 folds</font>, MP1 calls t100, <font color="#666666">1 fold</font>, <font color="#CC3333">MP3 raises to t500</font>, <font color="#666666">3 folds</font>, <font color="#CC3333">Hero raises to t2285</font>, MP1 folds, MP3 calls t1785.

Flop: (t4720) A[img]/images/graemlins/heart.gif[/img], Q[img]/images/graemlins/club.gif[/img], 9[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players)</font>

Turn: (t4720) 4[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>

River: (t4720) 3[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>

Final Pot: t4720