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Finding the Fourth Proportional to 6,649.38, 9,966.57 and 2,951.13

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Solution

The fourth proportional to 6,649.38, 9,966.57 and 2,951.13 is: 4,423.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.38 : 9,966.57 = 2,951.13 : x
  2. Step 2: Convert to fraction form
    6,649.38/9,966.57 = 2,951.13/x
  3. Step 3: Cross multiply
    6,649.38x = 9,966.57 × 2,951.13
  4. Step 4: Simplify right side
    6,649.38x = 29,412,643.72
  5. Step 5: Solve for x
    x = 29,412,643.72/6,649.38
  6. Step 6: Final answer
    x = 4,423.37

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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.