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Finding the Fourth Proportional to 9,475.72, 13,077.29 and 5,227.17

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Solution

The fourth proportional to 9,475.72, 13,077.29 and 5,227.17 is: 7,213.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.72 : 13,077.29 = 5,227.17 : x
  2. Step 2: Convert to fraction form
    9,475.72/13,077.29 = 5,227.17/x
  3. Step 3: Cross multiply
    9,475.72x = 13,077.29 × 5,227.17
  4. Step 4: Simplify right side
    9,475.72x = 68,357,217.97
  5. Step 5: Solve for x
    x = 68,357,217.97/9,475.72
  6. Step 6: Final answer
    x = 7,213.93

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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.