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Finding the Fourth Proportional to 6,546.52, 9,034.02 and 3,713.68

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Solution

The fourth proportional to 6,546.52, 9,034.02 and 3,713.68 is: 5,124.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.52 : 9,034.02 = 3,713.68 : x
  2. Step 2: Convert to fraction form
    6,546.52/9,034.02 = 3,713.68/x
  3. Step 3: Cross multiply
    6,546.52x = 9,034.02 × 3,713.68
  4. Step 4: Simplify right side
    6,546.52x = 33,549,459.39
  5. Step 5: Solve for x
    x = 33,549,459.39/6,546.52
  6. Step 6: Final answer
    x = 5,124.78

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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.