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Finding the Fourth Proportional to 6,978.14, 9,629.75 and 3,834.32

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Solution

The fourth proportional to 6,978.14, 9,629.75 and 3,834.32 is: 5,291.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.14 : 9,629.75 = 3,834.32 : x
  2. Step 2: Convert to fraction form
    6,978.14/9,629.75 = 3,834.32/x
  3. Step 3: Cross multiply
    6,978.14x = 9,629.75 × 3,834.32
  4. Step 4: Simplify right side
    6,978.14x = 36,923,475.70
  5. Step 5: Solve for x
    x = 36,923,475.70/6,978.14
  6. Step 6: Final answer
    x = 5,291.31

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