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Finding the Fourth Proportional to 9,743.20, 14,614.80 and 8,649.70

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Solution

The fourth proportional to 9,743.20, 14,614.80 and 8,649.70 is: 12,974.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.20 : 14,614.80 = 8,649.70 : x
  2. Step 2: Convert to fraction form
    9,743.20/14,614.80 = 8,649.70/x
  3. Step 3: Cross multiply
    9,743.20x = 14,614.80 × 8,649.70
  4. Step 4: Simplify right side
    9,743.20x = 126,413,635.56
  5. Step 5: Solve for x
    x = 126,413,635.56/9,743.20
  6. Step 6: Final answer
    x = 12,974.55

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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.