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Finding the Fourth Proportional to 6,909.40, 9,542.20 and 4,761.53

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Solution

The fourth proportional to 6,909.40, 9,542.20 and 4,761.53 is: 6,575.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.40 : 9,542.20 = 4,761.53 : x
  2. Step 2: Convert to fraction form
    6,909.40/9,542.20 = 4,761.53/x
  3. Step 3: Cross multiply
    6,909.40x = 9,542.20 × 4,761.53
  4. Step 4: Simplify right side
    6,909.40x = 45,435,423.86
  5. Step 5: Solve for x
    x = 45,435,423.86/6,909.40
  6. Step 6: Final answer
    x = 6,575.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.