Calculating deposit needed You put $$9,000$ in an account earning $6\%.$ After $4$ years, you make another deposit into the same account. Six years later $($that is$,10$ years after your original $$9,000$ deposit$),$ the account balance is $$23,000.$ What was the amount of the deposit at the end of year $4?$

The amount of the deposit at the end of year $4$ is $$.($Round to the nearest cent.$)$