If \(3 x-\frac{1}{2 x}=4\), then what is the value of \(4 x^2+\frac{1}{9 x^2}\) ?

1
\(\frac{68}{3}\)
2
\(\frac{22}{3}\)
3
\(\frac{64}{9}\)
4
\(\frac{76}{9}\)

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