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Finding the Fourth Proportional to 6,584.99, 9,876.38 and 2,202.44

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Solution

The fourth proportional to 6,584.99, 9,876.38 and 2,202.44 is: 3,303.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.99 : 9,876.38 = 2,202.44 : x
  2. Step 2: Convert to fraction form
    6,584.99/9,876.38 = 2,202.44/x
  3. Step 3: Cross multiply
    6,584.99x = 9,876.38 × 2,202.44
  4. Step 4: Simplify right side
    6,584.99x = 21,752,164.56
  5. Step 5: Solve for x
    x = 21,752,164.56/6,584.99
  6. Step 6: Final answer
    x = 3,303.29

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