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Finding the Fourth Proportional to 6,385.62, 9,584.24 and 3,267.78

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Solution

The fourth proportional to 6,385.62, 9,584.24 and 3,267.78 is: 4,904.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.62 : 9,584.24 = 3,267.78 : x
  2. Step 2: Convert to fraction form
    6,385.62/9,584.24 = 3,267.78/x
  3. Step 3: Cross multiply
    6,385.62x = 9,584.24 × 3,267.78
  4. Step 4: Simplify right side
    6,385.62x = 31,319,187.79
  5. Step 5: Solve for x
    x = 31,319,187.79/6,385.62
  6. Step 6: Final answer
    x = 4,904.64

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