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Finding the Fourth Proportional to 6,665.46, 9,997.20 and 4,192.71

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Solution

The fourth proportional to 6,665.46, 9,997.20 and 4,192.71 is: 6,288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.46 : 9,997.20 = 4,192.71 : x
  2. Step 2: Convert to fraction form
    6,665.46/9,997.20 = 4,192.71/x
  3. Step 3: Cross multiply
    6,665.46x = 9,997.20 × 4,192.71
  4. Step 4: Simplify right side
    6,665.46x = 41,915,360.41
  5. Step 5: Solve for x
    x = 41,915,360.41/6,665.46
  6. Step 6: Final answer
    x = 6,288.44

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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.