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If AE/DE=3, what is AD/BC?

[asy] size(6cm);pair A,B,C,D,EE;B=(0,0);A=(0,8);EE=(6,0);C=(12,0);D=(12,4);draw(A--B--C--D--EE--A--D);draw(rightanglemark(C,B,A,20));draw(rightanglemark(D,C,B,20));draw(rightanglemark(D,EE,A,20));add(pathticks(B--EE,1,0.5,1,15));add(pathticks(C--EE,1,0.5,1,15));label(

 Apr 3, 2022
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AD/BC = 7/4.

 Apr 3, 2022

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