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Finding the Fourth Proportional to 9,082.89, 12,532.77 and 5,049.27

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Solution

The fourth proportional to 9,082.89, 12,532.77 and 5,049.27 is: 6,967.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.89 : 12,532.77 = 5,049.27 : x
  2. Step 2: Convert to fraction form
    9,082.89/12,532.77 = 5,049.27/x
  3. Step 3: Cross multiply
    9,082.89x = 12,532.77 × 5,049.27
  4. Step 4: Simplify right side
    9,082.89x = 63,281,339.58
  5. Step 5: Solve for x
    x = 63,281,339.58/9,082.89
  6. Step 6: Final answer
    x = 6,967.09

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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.