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Finding the Fourth Proportional to 9,251.43, 13,882.18 and 3,407.19

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Solution

The fourth proportional to 9,251.43, 13,882.18 and 3,407.19 is: 5,112.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.43 : 13,882.18 = 3,407.19 : x
  2. Step 2: Convert to fraction form
    9,251.43/13,882.18 = 3,407.19/x
  3. Step 3: Cross multiply
    9,251.43x = 13,882.18 × 3,407.19
  4. Step 4: Simplify right side
    9,251.43x = 47,299,224.87
  5. Step 5: Solve for x
    x = 47,299,224.87/9,251.43
  6. Step 6: Final answer
    x = 5,112.64

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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.