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Finding the Fourth Proportional to 6,732.96, 9,291.24 and 3,938.40

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Solution

The fourth proportional to 6,732.96, 9,291.24 and 3,938.40 is: 5,434.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.96 : 9,291.24 = 3,938.40 : x
  2. Step 2: Convert to fraction form
    6,732.96/9,291.24 = 3,938.40/x
  3. Step 3: Cross multiply
    6,732.96x = 9,291.24 × 3,938.40
  4. Step 4: Simplify right side
    6,732.96x = 36,592,619.62
  5. Step 5: Solve for x
    x = 36,592,619.62/6,732.96
  6. Step 6: Final answer
    x = 5,434.85

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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.