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Finding the Fourth Proportional to 9,114.18, 13,671.09 and 2,540.20

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Solution

The fourth proportional to 9,114.18, 13,671.09 and 2,540.20 is: 3,810.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.18 : 13,671.09 = 2,540.20 : x
  2. Step 2: Convert to fraction form
    9,114.18/13,671.09 = 2,540.20/x
  3. Step 3: Cross multiply
    9,114.18x = 13,671.09 × 2,540.20
  4. Step 4: Simplify right side
    9,114.18x = 34,727,302.82
  5. Step 5: Solve for x
    x = 34,727,302.82/9,114.18
  6. Step 6: Final answer
    x = 3,810.25

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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.