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Finding the Fourth Proportional to 9,077.68, 13,616.52 and 4,692.88

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Solution

The fourth proportional to 9,077.68, 13,616.52 and 4,692.88 is: 7,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.68 : 13,616.52 = 4,692.88 : x
  2. Step 2: Convert to fraction form
    9,077.68/13,616.52 = 4,692.88/x
  3. Step 3: Cross multiply
    9,077.68x = 13,616.52 × 4,692.88
  4. Step 4: Simplify right side
    9,077.68x = 63,900,694.38
  5. Step 5: Solve for x
    x = 63,900,694.38/9,077.68
  6. Step 6: Final answer
    x = 7,039.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.