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Finding the Fourth Proportional to 6,584.82, 9,872.07 and 3,296.26

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Solution

The fourth proportional to 6,584.82, 9,872.07 and 3,296.26 is: 4,941.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.82 : 9,872.07 = 3,296.26 : x
  2. Step 2: Convert to fraction form
    6,584.82/9,872.07 = 3,296.26/x
  3. Step 3: Cross multiply
    6,584.82x = 9,872.07 × 3,296.26
  4. Step 4: Simplify right side
    6,584.82x = 32,540,909.46
  5. Step 5: Solve for x
    x = 32,540,909.46/6,584.82
  6. Step 6: Final answer
    x = 4,941.81

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