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Finding the Fourth Proportional to 9,082.60, 12,744.80 and 9,082.60

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Solution

The fourth proportional to 9,082.60, 12,744.80 and 9,082.60 is: 12,744.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.60 : 12,744.80 = 9,082.60 : x
  2. Step 2: Convert to fraction form
    9,082.60/12,744.80 = 9,082.60/x
  3. Step 3: Cross multiply
    9,082.60x = 12,744.80 × 9,082.60
  4. Step 4: Simplify right side
    9,082.60x = 115,755,920.48
  5. Step 5: Solve for x
    x = 115,755,920.48/9,082.60
  6. Step 6: Final answer
    x = 12,744.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.