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Finding the Fourth Proportional to 6,292.38, 9,437.94 and 2,132.22

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Solution

The fourth proportional to 6,292.38, 9,437.94 and 2,132.22 is: 3,198.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.38 : 9,437.94 = 2,132.22 : x
  2. Step 2: Convert to fraction form
    6,292.38/9,437.94 = 2,132.22/x
  3. Step 3: Cross multiply
    6,292.38x = 9,437.94 × 2,132.22
  4. Step 4: Simplify right side
    6,292.38x = 20,123,764.43
  5. Step 5: Solve for x
    x = 20,123,764.43/6,292.38
  6. Step 6: Final answer
    x = 3,198.12

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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.