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Finding the Fourth Proportional to 6,439.77, 9,659.25 and 3,840.75

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Solution

The fourth proportional to 6,439.77, 9,659.25 and 3,840.75 is: 5,760.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.77 : 9,659.25 = 3,840.75 : x
  2. Step 2: Convert to fraction form
    6,439.77/9,659.25 = 3,840.75/x
  3. Step 3: Cross multiply
    6,439.77x = 9,659.25 × 3,840.75
  4. Step 4: Simplify right side
    6,439.77x = 37,098,764.44
  5. Step 5: Solve for x
    x = 37,098,764.44/6,439.77
  6. Step 6: Final answer
    x = 5,760.88

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