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Finding the Fourth Proportional to 9,082.66, 12,532.17 and 5,354.50

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Solution

The fourth proportional to 9,082.66, 12,532.17 and 5,354.50 is: 7,388.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.66 : 12,532.17 = 5,354.50 : x
  2. Step 2: Convert to fraction form
    9,082.66/12,532.17 = 5,354.50/x
  3. Step 3: Cross multiply
    9,082.66x = 12,532.17 × 5,354.50
  4. Step 4: Simplify right side
    9,082.66x = 67,103,504.27
  5. Step 5: Solve for x
    x = 67,103,504.27/9,082.66
  6. Step 6: Final answer
    x = 7,388.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.