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Finding the Fourth Proportional to 6,583.80, 9,877.42 and 2,201.30

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Solution

The fourth proportional to 6,583.80, 9,877.42 and 2,201.30 is: 3,302.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.80 : 9,877.42 = 2,201.30 : x
  2. Step 2: Convert to fraction form
    6,583.80/9,877.42 = 2,201.30/x
  3. Step 3: Cross multiply
    6,583.80x = 9,877.42 × 2,201.30
  4. Step 4: Simplify right side
    6,583.80x = 21,743,115.26
  5. Step 5: Solve for x
    x = 21,743,115.26/6,583.80
  6. Step 6: Final answer
    x = 3,302.52

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