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Finding the Fourth Proportional to 6,109.85, 9,167.43 and 2,414.78

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Solution

The fourth proportional to 6,109.85, 9,167.43 and 2,414.78 is: 3,623.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.85 : 9,167.43 = 2,414.78 : x
  2. Step 2: Convert to fraction form
    6,109.85/9,167.43 = 2,414.78/x
  3. Step 3: Cross multiply
    6,109.85x = 9,167.43 × 2,414.78
  4. Step 4: Simplify right side
    6,109.85x = 22,137,326.62
  5. Step 5: Solve for x
    x = 22,137,326.62/6,109.85
  6. Step 6: Final answer
    x = 3,623.22

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