A Defensive Problem

From actual play, Jan 7, 2009. Matchpoints, club game. You pick up
Axxx
Axxx
x
KQ10x
This is the auction
LHO  Pd  RHO   You
1D    P   1S    X
2C    P   2H(1) P
2NT   P    P    P
(1)fourth-suit forcing
Partner leads the J of hearts and this dummy comes down. An unpromising lead.
QJ109x
Q9xx
Ax
xx

You let partner's jack ride around to declarer's king. Declarer plays a diamond to the ace and then a diamonds back to the 9, partner winning the king. Partner now leads a small heart, which rides around to declarer's 10 and declarer leads another heart to the 9 on the board. You might as well win. What now?

Answer
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