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Finding the Fourth Proportional to 6,327.38, 9,491.54 and 2,431.82

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Solution

The fourth proportional to 6,327.38, 9,491.54 and 2,431.82 is: 3,647.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.38 : 9,491.54 = 2,431.82 : x
  2. Step 2: Convert to fraction form
    6,327.38/9,491.54 = 2,431.82/x
  3. Step 3: Cross multiply
    6,327.38x = 9,491.54 × 2,431.82
  4. Step 4: Simplify right side
    6,327.38x = 23,081,657.19
  5. Step 5: Solve for x
    x = 23,081,657.19/6,327.38
  6. Step 6: Final answer
    x = 3,647.90

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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.