# Cool Inequality #2 Promotion

Algebra Level 5

$\large{\left(\sum _{ i=1 }^{ 3 }{ \frac { \sqrt{6x_{1}x_{2}x_{3}} }{ 6{ x }_{ i } } }\right)^{4}}$

If $$x_{1},x_{2},x_{3} > 0$$ such that $$\displaystyle\sum_{\text{cyclic} }^{ }{ ({ x }_{ 1 }\times { x }_{ 2 })^{2} } = 6x_{1}x_{2}x_{3}$$. Find the maximum value of the expression above.

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