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Finding the Fourth Proportional to 9,114.71, 13,672.07 and 2,540.96

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Solution

The fourth proportional to 9,114.71, 13,672.07 and 2,540.96 is: 3,811.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.71 : 13,672.07 = 2,540.96 : x
  2. Step 2: Convert to fraction form
    9,114.71/13,672.07 = 2,540.96/x
  3. Step 3: Cross multiply
    9,114.71x = 13,672.07 × 2,540.96
  4. Step 4: Simplify right side
    9,114.71x = 34,740,101.92
  5. Step 5: Solve for x
    x = 34,740,101.92/9,114.71
  6. Step 6: Final answer
    x = 3,811.43

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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.