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Finding the Fourth Proportional to 6,512.46, 9,757.35 and 3,909.66

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Solution

The fourth proportional to 6,512.46, 9,757.35 and 3,909.66 is: 5,857.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.46 : 9,757.35 = 3,909.66 : x
  2. Step 2: Convert to fraction form
    6,512.46/9,757.35 = 3,909.66/x
  3. Step 3: Cross multiply
    6,512.46x = 9,757.35 × 3,909.66
  4. Step 4: Simplify right side
    6,512.46x = 38,147,921.00
  5. Step 5: Solve for x
    x = 38,147,921.00/6,512.46
  6. Step 6: Final answer
    x = 5,857.68

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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.