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Finding the Fourth Proportional to 9,149.40, 13,715.82 and 3,301.92

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Solution

The fourth proportional to 9,149.40, 13,715.82 and 3,301.92 is: 4,949.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.40 : 13,715.82 = 3,301.92 : x
  2. Step 2: Convert to fraction form
    9,149.40/13,715.82 = 3,301.92/x
  3. Step 3: Cross multiply
    9,149.40x = 13,715.82 × 3,301.92
  4. Step 4: Simplify right side
    9,149.40x = 45,288,540.37
  5. Step 5: Solve for x
    x = 45,288,540.37/9,149.40
  6. Step 6: Final answer
    x = 4,949.89

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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.