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Finding the Fourth Proportional to 7,147.27, 9,863.26 and 4,003.46

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Solution

The fourth proportional to 7,147.27, 9,863.26 and 4,003.46 is: 5,524.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.27 : 9,863.26 = 4,003.46 : x
  2. Step 2: Convert to fraction form
    7,147.27/9,863.26 = 4,003.46/x
  3. Step 3: Cross multiply
    7,147.27x = 9,863.26 × 4,003.46
  4. Step 4: Simplify right side
    7,147.27x = 39,487,107.55
  5. Step 5: Solve for x
    x = 39,487,107.55/7,147.27
  6. Step 6: Final answer
    x = 5,524.78

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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.