Harmonic Progression

Algebra Level pending

If \({ T }_{ k }\) denotes the \({ k }^\text{ th }\) term of a harmonic progression from the beginning and \(\dfrac { { T }_{ 2 } }{ { T }_{ 6 } } =9\), then what is the the value of \(\dfrac { { T }_{ 10 } }{ { T }_{ 4 } } \) ?

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