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Finding the Fourth Proportional to 6,545.66, 9,814.57 and 4,439.87

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Solution

The fourth proportional to 6,545.66, 9,814.57 and 4,439.87 is: 6,657.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.66 : 9,814.57 = 4,439.87 : x
  2. Step 2: Convert to fraction form
    6,545.66/9,814.57 = 4,439.87/x
  3. Step 3: Cross multiply
    6,545.66x = 9,814.57 × 4,439.87
  4. Step 4: Simplify right side
    6,545.66x = 43,575,471.72
  5. Step 5: Solve for x
    x = 43,575,471.72/6,545.66
  6. Step 6: Final answer
    x = 6,657.15

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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.