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Finding the Fourth Proportional to 9,902.64, 14,854.40 and 5,516.78

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Solution

The fourth proportional to 9,902.64, 14,854.40 and 5,516.78 is: 8,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.64 : 14,854.40 = 5,516.78 : x
  2. Step 2: Convert to fraction form
    9,902.64/14,854.40 = 5,516.78/x
  3. Step 3: Cross multiply
    9,902.64x = 14,854.40 × 5,516.78
  4. Step 4: Simplify right side
    9,902.64x = 81,948,456.83
  5. Step 5: Solve for x
    x = 81,948,456.83/9,902.64
  6. Step 6: Final answer
    x = 8,275.42

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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.