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Finding the Fourth Proportional to 6,934.41, 10,414.08 and 6,378.08

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Solution

The fourth proportional to 6,934.41, 10,414.08 and 6,378.08 is: 9,578.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.41 : 10,414.08 = 6,378.08 : x
  2. Step 2: Convert to fraction form
    6,934.41/10,414.08 = 6,378.08/x
  3. Step 3: Cross multiply
    6,934.41x = 10,414.08 × 6,378.08
  4. Step 4: Simplify right side
    6,934.41x = 66,421,783.30
  5. Step 5: Solve for x
    x = 66,421,783.30/6,934.41
  6. Step 6: Final answer
    x = 9,578.58

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