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Finding the Fourth Proportional to 9,489.96, 14,224.41 and 3,940.38

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Solution

The fourth proportional to 9,489.96, 14,224.41 and 3,940.38 is: 5,906.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.96 : 14,224.41 = 3,940.38 : x
  2. Step 2: Convert to fraction form
    9,489.96/14,224.41 = 3,940.38/x
  3. Step 3: Cross multiply
    9,489.96x = 14,224.41 × 3,940.38
  4. Step 4: Simplify right side
    9,489.96x = 56,049,580.68
  5. Step 5: Solve for x
    x = 56,049,580.68/9,489.96
  6. Step 6: Final answer
    x = 5,906.20

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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.