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Finding the Fourth Proportional to 9,711.32, 14,545.05 and 6,802.61

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Solution

The fourth proportional to 9,711.32, 14,545.05 and 6,802.61 is: 10,188.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.32 : 14,545.05 = 6,802.61 : x
  2. Step 2: Convert to fraction form
    9,711.32/14,545.05 = 6,802.61/x
  3. Step 3: Cross multiply
    9,711.32x = 14,545.05 × 6,802.61
  4. Step 4: Simplify right side
    9,711.32x = 98,944,229.86
  5. Step 5: Solve for x
    x = 98,944,229.86/9,711.32
  6. Step 6: Final answer
    x = 10,188.55

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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.