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Finding the Fourth Proportional to 6,092.14, 9,139.17 and 2,582.16

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Solution

The fourth proportional to 6,092.14, 9,139.17 and 2,582.16 is: 3,873.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.14 : 9,139.17 = 2,582.16 : x
  2. Step 2: Convert to fraction form
    6,092.14/9,139.17 = 2,582.16/x
  3. Step 3: Cross multiply
    6,092.14x = 9,139.17 × 2,582.16
  4. Step 4: Simplify right side
    6,092.14x = 23,598,799.21
  5. Step 5: Solve for x
    x = 23,598,799.21/6,092.14
  6. Step 6: Final answer
    x = 3,873.65

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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.