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Finding the Fourth Proportional to 6,846.20, 9,447.80 and 3,821.46

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Solution

The fourth proportional to 6,846.20, 9,447.80 and 3,821.46 is: 5,273.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.20 : 9,447.80 = 3,821.46 : x
  2. Step 2: Convert to fraction form
    6,846.20/9,447.80 = 3,821.46/x
  3. Step 3: Cross multiply
    6,846.20x = 9,447.80 × 3,821.46
  4. Step 4: Simplify right side
    6,846.20x = 36,104,370.68
  5. Step 5: Solve for x
    x = 36,104,370.68/6,846.20
  6. Step 6: Final answer
    x = 5,273.64

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