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Finding the Fourth Proportional to 9,517.64, 14,273.70 and 3,672.90

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Solution

The fourth proportional to 9,517.64, 14,273.70 and 3,672.90 is: 5,508.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.64 : 14,273.70 = 3,672.90 : x
  2. Step 2: Convert to fraction form
    9,517.64/14,273.70 = 3,672.90/x
  3. Step 3: Cross multiply
    9,517.64x = 14,273.70 × 3,672.90
  4. Step 4: Simplify right side
    9,517.64x = 52,425,872.73
  5. Step 5: Solve for x
    x = 52,425,872.73/9,517.64
  6. Step 6: Final answer
    x = 5,508.28

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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.