If $\frac{\sqrt{x}}{\sqrt{x-1}}=\frac32$, solve for $x$. Express your answer in simplest fractional form.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
If $\frac{\sqrt{x}}{\sqrt{x-1}}=\frac32$, solve for $x$. Express your answer in simplest fractional form.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac9{5}
If $\frac{\sqrt{x}}{\sqrt{x-1}}=\frac32$, solve for $x$. Express your answer in simplest fractional form.
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