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Finding the Fourth Proportional to 6,586.31, 9,879.27 and 1,906.44

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Solution

The fourth proportional to 6,586.31, 9,879.27 and 1,906.44 is: 2,859.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.31 : 9,879.27 = 1,906.44 : x
  2. Step 2: Convert to fraction form
    6,586.31/9,879.27 = 1,906.44/x
  3. Step 3: Cross multiply
    6,586.31x = 9,879.27 × 1,906.44
  4. Step 4: Simplify right side
    6,586.31x = 18,834,191.30
  5. Step 5: Solve for x
    x = 18,834,191.30/6,586.31
  6. Step 6: Final answer
    x = 2,859.60

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