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Finding the Fourth Proportional to 6,514.40, 9,757.20 and 3,432.80

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Solution

The fourth proportional to 6,514.40, 9,757.20 and 3,432.80 is: 5,141.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.40 : 9,757.20 = 3,432.80 : x
  2. Step 2: Convert to fraction form
    6,514.40/9,757.20 = 3,432.80/x
  3. Step 3: Cross multiply
    6,514.40x = 9,757.20 × 3,432.80
  4. Step 4: Simplify right side
    6,514.40x = 33,494,516.16
  5. Step 5: Solve for x
    x = 33,494,516.16/6,514.40
  6. Step 6: Final answer
    x = 5,141.61

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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.