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Finding the Fourth Proportional to 9,224.56, 12,729.52 and 5,191.30

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Solution

The fourth proportional to 9,224.56, 12,729.52 and 5,191.30 is: 7,163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.56 : 12,729.52 = 5,191.30 : x
  2. Step 2: Convert to fraction form
    9,224.56/12,729.52 = 5,191.30/x
  3. Step 3: Cross multiply
    9,224.56x = 12,729.52 × 5,191.30
  4. Step 4: Simplify right side
    9,224.56x = 66,082,757.18
  5. Step 5: Solve for x
    x = 66,082,757.18/9,224.56
  6. Step 6: Final answer
    x = 7,163.78

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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.