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Finding the Fourth Proportional to 6,566.92, 9,839.22 and 3,964.39

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Solution

The fourth proportional to 6,566.92, 9,839.22 and 3,964.39 is: 5,939.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.92 : 9,839.22 = 3,964.39 : x
  2. Step 2: Convert to fraction form
    6,566.92/9,839.22 = 3,964.39/x
  3. Step 3: Cross multiply
    6,566.92x = 9,839.22 × 3,964.39
  4. Step 4: Simplify right side
    6,566.92x = 39,006,505.38
  5. Step 5: Solve for x
    x = 39,006,505.38/6,566.92
  6. Step 6: Final answer
    x = 5,939.85

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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.