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Finding the Fourth Proportional to 9,380.66, 14,073.07 and 3,537.32

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Solution

The fourth proportional to 9,380.66, 14,073.07 and 3,537.32 is: 5,306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.66 : 14,073.07 = 3,537.32 : x
  2. Step 2: Convert to fraction form
    9,380.66/14,073.07 = 3,537.32/x
  3. Step 3: Cross multiply
    9,380.66x = 14,073.07 × 3,537.32
  4. Step 4: Simplify right side
    9,380.66x = 49,780,951.97
  5. Step 5: Solve for x
    x = 49,780,951.97/9,380.66
  6. Step 6: Final answer
    x = 5,306.76

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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.