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Finding the Fourth Proportional to 6,981.64, 9,634.86 and 3,838.04

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Solution

The fourth proportional to 6,981.64, 9,634.86 and 3,838.04 is: 5,296.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.64 : 9,634.86 = 3,838.04 : x
  2. Step 2: Convert to fraction form
    6,981.64/9,634.86 = 3,838.04/x
  3. Step 3: Cross multiply
    6,981.64x = 9,634.86 × 3,838.04
  4. Step 4: Simplify right side
    6,981.64x = 36,978,978.07
  5. Step 5: Solve for x
    x = 36,978,978.07/6,981.64
  6. Step 6: Final answer
    x = 5,296.60

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