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Finding the Fourth Proportional to 9,847.29, 14,767.17 and 4,224.44

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Solution

The fourth proportional to 9,847.29, 14,767.17 and 4,224.44 is: 6,335.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.29 : 14,767.17 = 4,224.44 : x
  2. Step 2: Convert to fraction form
    9,847.29/14,767.17 = 4,224.44/x
  3. Step 3: Cross multiply
    9,847.29x = 14,767.17 × 4,224.44
  4. Step 4: Simplify right side
    9,847.29x = 62,382,949.80
  5. Step 5: Solve for x
    x = 62,382,949.80/9,847.29
  6. Step 6: Final answer
    x = 6,335.04

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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.