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Finding the Fourth Proportional to 6,546.62, 9,032.85 and 3,713.31

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Solution

The fourth proportional to 6,546.62, 9,032.85 and 3,713.31 is: 5,123.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.62 : 9,032.85 = 3,713.31 : x
  2. Step 2: Convert to fraction form
    6,546.62/9,032.85 = 3,713.31/x
  3. Step 3: Cross multiply
    6,546.62x = 9,032.85 × 3,713.31
  4. Step 4: Simplify right side
    6,546.62x = 33,541,772.23
  5. Step 5: Solve for x
    x = 33,541,772.23/6,546.62
  6. Step 6: Final answer
    x = 5,123.52

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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.