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Finding the Fourth Proportional to 9,114.27, 13,671.37 and 2,540.49

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Solution

The fourth proportional to 9,114.27, 13,671.37 and 2,540.49 is: 3,810.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.27 : 13,671.37 = 2,540.49 : x
  2. Step 2: Convert to fraction form
    9,114.27/13,671.37 = 2,540.49/x
  3. Step 3: Cross multiply
    9,114.27x = 13,671.37 × 2,540.49
  4. Step 4: Simplify right side
    9,114.27x = 34,731,978.77
  5. Step 5: Solve for x
    x = 34,731,978.77/9,114.27
  6. Step 6: Final answer
    x = 3,810.73

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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.