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Finding the Fourth Proportional to 6,546.83, 9,818.42 and 3,213.47

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Solution

The fourth proportional to 6,546.83, 9,818.42 and 3,213.47 is: 4,819.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.83 : 9,818.42 = 3,213.47 : x
  2. Step 2: Convert to fraction form
    6,546.83/9,818.42 = 3,213.47/x
  3. Step 3: Cross multiply
    6,546.83x = 9,818.42 × 3,213.47
  4. Step 4: Simplify right side
    6,546.83x = 31,551,206.60
  5. Step 5: Solve for x
    x = 31,551,206.60/6,546.83
  6. Step 6: Final answer
    x = 4,819.31

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