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Finding the Fourth Proportional to 9,475.87, 13,076.38 and 5,227.10

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Solution

The fourth proportional to 9,475.87, 13,076.38 and 5,227.10 is: 7,213.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.87 : 13,076.38 = 5,227.10 : x
  2. Step 2: Convert to fraction form
    9,475.87/13,076.38 = 5,227.10/x
  3. Step 3: Cross multiply
    9,475.87x = 13,076.38 × 5,227.10
  4. Step 4: Simplify right side
    9,475.87x = 68,351,545.90
  5. Step 5: Solve for x
    x = 68,351,545.90/9,475.87
  6. Step 6: Final answer
    x = 7,213.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.