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Finding the Fourth Proportional to 6,092.57, 9,139.18 and 1,932.90

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Solution

The fourth proportional to 6,092.57, 9,139.18 and 1,932.90 is: 2,899.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.57 : 9,139.18 = 1,932.90 : x
  2. Step 2: Convert to fraction form
    6,092.57/9,139.18 = 1,932.90/x
  3. Step 3: Cross multiply
    6,092.57x = 9,139.18 × 1,932.90
  4. Step 4: Simplify right side
    6,092.57x = 17,665,121.02
  5. Step 5: Solve for x
    x = 17,665,121.02/6,092.57
  6. Step 6: Final answer
    x = 2,899.45

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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.