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Finding the Fourth Proportional to 6,584.75, 9,881.42 and 2,424.80

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Solution

The fourth proportional to 6,584.75, 9,881.42 and 2,424.80 is: 3,638.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.75 : 9,881.42 = 2,424.80 : x
  2. Step 2: Convert to fraction form
    6,584.75/9,881.42 = 2,424.80/x
  3. Step 3: Cross multiply
    6,584.75x = 9,881.42 × 2,424.80
  4. Step 4: Simplify right side
    6,584.75x = 23,960,467.22
  5. Step 5: Solve for x
    x = 23,960,467.22/6,584.75
  6. Step 6: Final answer
    x = 3,638.78

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