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Finding the Fourth Proportional to 9,232.60, 12,737.37 and 5,689.66

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Solution

The fourth proportional to 9,232.60, 12,737.37 and 5,689.66 is: 7,849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.60 : 12,737.37 = 5,689.66 : x
  2. Step 2: Convert to fraction form
    9,232.60/12,737.37 = 5,689.66/x
  3. Step 3: Cross multiply
    9,232.60x = 12,737.37 × 5,689.66
  4. Step 4: Simplify right side
    9,232.60x = 72,471,304.59
  5. Step 5: Solve for x
    x = 72,471,304.59/9,232.60
  6. Step 6: Final answer
    x = 7,849.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.