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Finding the Fourth Proportional to 6,665.87, 9,992.17 and 3,149.65

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Solution

The fourth proportional to 6,665.87, 9,992.17 and 3,149.65 is: 4,721.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.87 : 9,992.17 = 3,149.65 : x
  2. Step 2: Convert to fraction form
    6,665.87/9,992.17 = 3,149.65/x
  3. Step 3: Cross multiply
    6,665.87x = 9,992.17 × 3,149.65
  4. Step 4: Simplify right side
    6,665.87x = 31,471,805.39
  5. Step 5: Solve for x
    x = 31,471,805.39/6,665.87
  6. Step 6: Final answer
    x = 4,721.34

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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.