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Finding the Fourth Proportional to 10,082.50, 13,906.96 and 9,245.97

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Solution

The fourth proportional to 10,082.50, 13,906.96 and 9,245.97 is: 12,753.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.50 : 13,906.96 = 9,245.97 : x
  2. Step 2: Convert to fraction form
    10,082.50/13,906.96 = 9,245.97/x
  3. Step 3: Cross multiply
    10,082.50x = 13,906.96 × 9,245.97
  4. Step 4: Simplify right side
    10,082.50x = 128,583,311.84
  5. Step 5: Solve for x
    x = 128,583,311.84/10,082.50
  6. Step 6: Final answer
    x = 12,753.12

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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.