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Finding the Fourth Proportional to 9,114.19, 13,672.04 and 2,540.44

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Solution

The fourth proportional to 9,114.19, 13,672.04 and 2,540.44 is: 3,810.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.19 : 13,672.04 = 2,540.44 : x
  2. Step 2: Convert to fraction form
    9,114.19/13,672.04 = 2,540.44/x
  3. Step 3: Cross multiply
    9,114.19x = 13,672.04 × 2,540.44
  4. Step 4: Simplify right side
    9,114.19x = 34,732,997.30
  5. Step 5: Solve for x
    x = 34,732,997.30/9,114.19
  6. Step 6: Final answer
    x = 3,810.87

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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.