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Finding the Fourth Proportional to 6,327.31, 9,488.03 and 3,695.60

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Solution

The fourth proportional to 6,327.31, 9,488.03 and 3,695.60 is: 5,541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.31 : 9,488.03 = 3,695.60 : x
  2. Step 2: Convert to fraction form
    6,327.31/9,488.03 = 3,695.60/x
  3. Step 3: Cross multiply
    6,327.31x = 9,488.03 × 3,695.60
  4. Step 4: Simplify right side
    6,327.31x = 35,063,897.75
  5. Step 5: Solve for x
    x = 35,063,897.75/6,327.31
  6. Step 6: Final answer
    x = 5,541.68

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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.