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Finding the Fourth Proportional to 6,092.32, 9,142.14 and 2,582.14

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Solution

The fourth proportional to 6,092.32, 9,142.14 and 2,582.14 is: 3,874.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.32 : 9,142.14 = 2,582.14 : x
  2. Step 2: Convert to fraction form
    6,092.32/9,142.14 = 2,582.14/x
  3. Step 3: Cross multiply
    6,092.32x = 9,142.14 × 2,582.14
  4. Step 4: Simplify right side
    6,092.32x = 23,606,285.38
  5. Step 5: Solve for x
    x = 23,606,285.38/6,092.32
  6. Step 6: Final answer
    x = 3,874.76

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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.