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Finding the Fourth Proportional to 6,981.78, 9,634.61 and 3,837.95

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Solution

The fourth proportional to 6,981.78, 9,634.61 and 3,837.95 is: 5,296.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.78 : 9,634.61 = 3,837.95 : x
  2. Step 2: Convert to fraction form
    6,981.78/9,634.61 = 3,837.95/x
  3. Step 3: Cross multiply
    6,981.78x = 9,634.61 × 3,837.95
  4. Step 4: Simplify right side
    6,981.78x = 36,977,112.87
  5. Step 5: Solve for x
    x = 36,977,112.87/6,981.78
  6. Step 6: Final answer
    x = 5,296.23

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