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Finding the Fourth Proportional to 6,477.06, 9,722.82 and 2,584.20

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Solution

The fourth proportional to 6,477.06, 9,722.82 and 2,584.20 is: 3,879.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.06 : 9,722.82 = 2,584.20 : x
  2. Step 2: Convert to fraction form
    6,477.06/9,722.82 = 2,584.20/x
  3. Step 3: Cross multiply
    6,477.06x = 9,722.82 × 2,584.20
  4. Step 4: Simplify right side
    6,477.06x = 25,125,711.44
  5. Step 5: Solve for x
    x = 25,125,711.44/6,477.06
  6. Step 6: Final answer
    x = 3,879.18

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