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Finding the Fourth Proportional to 9,478.67, 13,080.61 and 5,229.78

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Solution

The fourth proportional to 9,478.67, 13,080.61 and 5,229.78 is: 7,217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.67 : 13,080.61 = 5,229.78 : x
  2. Step 2: Convert to fraction form
    9,478.67/13,080.61 = 5,229.78/x
  3. Step 3: Cross multiply
    9,478.67x = 13,080.61 × 5,229.78
  4. Step 4: Simplify right side
    9,478.67x = 68,408,712.57
  5. Step 5: Solve for x
    x = 68,408,712.57/9,478.67
  6. Step 6: Final answer
    x = 7,217.12

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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.