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Finding the Fourth Proportional to 9,414.75, 14,122.41 and 2,489.25

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Solution

The fourth proportional to 9,414.75, 14,122.41 and 2,489.25 is: 3,733.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.75 : 14,122.41 = 2,489.25 : x
  2. Step 2: Convert to fraction form
    9,414.75/14,122.41 = 2,489.25/x
  3. Step 3: Cross multiply
    9,414.75x = 14,122.41 × 2,489.25
  4. Step 4: Simplify right side
    9,414.75x = 35,154,209.09
  5. Step 5: Solve for x
    x = 35,154,209.09/9,414.75
  6. Step 6: Final answer
    x = 3,733.95

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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.