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Finding the Fourth Proportional to 6,082.86, 9,117 and 3,612.36

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Solution

The fourth proportional to 6,082.86, 9,117 and 3,612.36 is: 5,414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.86 : 9,117 = 3,612.36 : x
  2. Step 2: Convert to fraction form
    6,082.86/9,117 = 3,612.36/x
  3. Step 3: Cross multiply
    6,082.86x = 9,117 × 3,612.36
  4. Step 4: Simplify right side
    6,082.86x = 32,933,886.12
  5. Step 5: Solve for x
    x = 32,933,886.12/6,082.86
  6. Step 6: Final answer
    x = 5,414.21

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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.