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Finding the Fourth Proportional to 6,540.78, 9,815.48 and 3,906.34

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Solution

The fourth proportional to 6,540.78, 9,815.48 and 3,906.34 is: 5,862.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.78 : 9,815.48 = 3,906.34 : x
  2. Step 2: Convert to fraction form
    6,540.78/9,815.48 = 3,906.34/x
  3. Step 3: Cross multiply
    6,540.78x = 9,815.48 × 3,906.34
  4. Step 4: Simplify right side
    6,540.78x = 38,342,602.14
  5. Step 5: Solve for x
    x = 38,342,602.14/6,540.78
  6. Step 6: Final answer
    x = 5,862.08

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