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Finding the Fourth Proportional to 6,542.93, 9,821.68 and 3,255.14

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Solution

The fourth proportional to 6,542.93, 9,821.68 and 3,255.14 is: 4,886.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.93 : 9,821.68 = 3,255.14 : x
  2. Step 2: Convert to fraction form
    6,542.93/9,821.68 = 3,255.14/x
  3. Step 3: Cross multiply
    6,542.93x = 9,821.68 × 3,255.14
  4. Step 4: Simplify right side
    6,542.93x = 31,970,943.44
  5. Step 5: Solve for x
    x = 31,970,943.44/6,542.93
  6. Step 6: Final answer
    x = 4,886.33

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