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Finding the Fourth Proportional to 9,478.50, 13,081.07 and 5,229.94

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Solution

The fourth proportional to 9,478.50, 13,081.07 and 5,229.94 is: 7,217.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.50 : 13,081.07 = 5,229.94 : x
  2. Step 2: Convert to fraction form
    9,478.50/13,081.07 = 5,229.94/x
  3. Step 3: Cross multiply
    9,478.50x = 13,081.07 × 5,229.94
  4. Step 4: Simplify right side
    9,478.50x = 68,413,211.24
  5. Step 5: Solve for x
    x = 68,413,211.24/9,478.50
  6. Step 6: Final answer
    x = 7,217.73

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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.