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Finding the Fourth Proportional to 6,114.26, 9,154.01 and 4,027.97

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Solution

The fourth proportional to 6,114.26, 9,154.01 and 4,027.97 is: 6,030.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.26 : 9,154.01 = 4,027.97 : x
  2. Step 2: Convert to fraction form
    6,114.26/9,154.01 = 4,027.97/x
  3. Step 3: Cross multiply
    6,114.26x = 9,154.01 × 4,027.97
  4. Step 4: Simplify right side
    6,114.26x = 36,872,110.61
  5. Step 5: Solve for x
    x = 36,872,110.61/6,114.26
  6. Step 6: Final answer
    x = 6,030.51

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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.