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Finding the Fourth Proportional to 9,116.78, 13,675.47 and 2,542.41

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Solution

The fourth proportional to 9,116.78, 13,675.47 and 2,542.41 is: 3,813.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.78 : 13,675.47 = 2,542.41 : x
  2. Step 2: Convert to fraction form
    9,116.78/13,675.47 = 2,542.41/x
  3. Step 3: Cross multiply
    9,116.78x = 13,675.47 × 2,542.41
  4. Step 4: Simplify right side
    9,116.78x = 34,768,651.68
  5. Step 5: Solve for x
    x = 34,768,651.68/9,116.78
  6. Step 6: Final answer
    x = 3,813.70

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