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Finding the Fourth Proportional to 9,148.28, 13,720.14 and 3,524.82

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Solution

The fourth proportional to 9,148.28, 13,720.14 and 3,524.82 is: 5,286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.28 : 13,720.14 = 3,524.82 : x
  2. Step 2: Convert to fraction form
    9,148.28/13,720.14 = 3,524.82/x
  3. Step 3: Cross multiply
    9,148.28x = 13,720.14 × 3,524.82
  4. Step 4: Simplify right side
    9,148.28x = 48,361,023.87
  5. Step 5: Solve for x
    x = 48,361,023.87/9,148.28
  6. Step 6: Final answer
    x = 5,286.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.