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Finding the Fourth Proportional to 6,914.64, 10,378.68 and 6,540.04

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Solution

The fourth proportional to 6,914.64, 10,378.68 and 6,540.04 is: 9,816.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.64 : 10,378.68 = 6,540.04 : x
  2. Step 2: Convert to fraction form
    6,914.64/10,378.68 = 6,540.04/x
  3. Step 3: Cross multiply
    6,914.64x = 10,378.68 × 6,540.04
  4. Step 4: Simplify right side
    6,914.64x = 67,876,982.35
  5. Step 5: Solve for x
    x = 67,876,982.35/6,914.64
  6. Step 6: Final answer
    x = 9,816.42

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