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Finding the Fourth Proportional to 6,199.20, 9,287.91 and 5,165.82

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Solution

The fourth proportional to 6,199.20, 9,287.91 and 5,165.82 is: 7,739.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.20 : 9,287.91 = 5,165.82 : x
  2. Step 2: Convert to fraction form
    6,199.20/9,287.91 = 5,165.82/x
  3. Step 3: Cross multiply
    6,199.20x = 9,287.91 × 5,165.82
  4. Step 4: Simplify right side
    6,199.20x = 47,979,671.24
  5. Step 5: Solve for x
    x = 47,979,671.24/6,199.20
  6. Step 6: Final answer
    x = 7,739.66

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