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Finding the Fourth Proportional to 9,426.28, 13,007.92 and 5,234.80

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Solution

The fourth proportional to 9,426.28, 13,007.92 and 5,234.80 is: 7,223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,426.28 : 13,007.92 = 5,234.80 : x
  2. Step 2: Convert to fraction form
    9,426.28/13,007.92 = 5,234.80/x
  3. Step 3: Cross multiply
    9,426.28x = 13,007.92 × 5,234.80
  4. Step 4: Simplify right side
    9,426.28x = 68,093,859.62
  5. Step 5: Solve for x
    x = 68,093,859.62/9,426.28
  6. Step 6: Final answer
    x = 7,223.83

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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.