Swarna has a bag of cherries, and eats \(\frac { 1 }{ 2 } \) of them, then passes the rest to Madhur, who eats \(\frac { 1 }{ 3 } \) of the remainder. The bag is then passed to Bala, who eats \(\frac { 1 }{ 4 } \) of the remaining cherries.

There are 6 cherries left. How many were there originally?

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