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Finding the Fourth Proportional to 6,978.60, 9,630.39 and 3,834.75

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Solution

The fourth proportional to 6,978.60, 9,630.39 and 3,834.75 is: 5,291.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.60 : 9,630.39 = 3,834.75 : x
  2. Step 2: Convert to fraction form
    6,978.60/9,630.39 = 3,834.75/x
  3. Step 3: Cross multiply
    6,978.60x = 9,630.39 × 3,834.75
  4. Step 4: Simplify right side
    6,978.60x = 36,930,138.05
  5. Step 5: Solve for x
    x = 36,930,138.05/6,978.60
  6. Step 6: Final answer
    x = 5,291.91

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