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Finding the Fourth Proportional to 6,545.64, 9,818.52 and 5,387.88

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Solution

The fourth proportional to 6,545.64, 9,818.52 and 5,387.88 is: 8,081.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.64 : 9,818.52 = 5,387.88 : x
  2. Step 2: Convert to fraction form
    6,545.64/9,818.52 = 5,387.88/x
  3. Step 3: Cross multiply
    6,545.64x = 9,818.52 × 5,387.88
  4. Step 4: Simplify right side
    6,545.64x = 52,901,007.54
  5. Step 5: Solve for x
    x = 52,901,007.54/6,545.64
  6. Step 6: Final answer
    x = 8,081.87

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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.