If (4x2 + xy) : (3xy - y2) = 12 : 5, find (x + 2y) : (2x + y).
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If a : b = 3 : 11, find (15a - 3b) : (9a + 5b).
If y(3x - y) : x(4x + y) = 5 : 12, find (x2 + y2) : (x + y)2.
If (x - 9) : (3x + 6) is the duplicate ratio of 4 : 9, find the value of x.