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Finding the Fourth Proportional to 6,811.64, 9,399.34 and 3,827.80

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Solution

The fourth proportional to 6,811.64, 9,399.34 and 3,827.80 is: 5,281.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.64 : 9,399.34 = 3,827.80 : x
  2. Step 2: Convert to fraction form
    6,811.64/9,399.34 = 3,827.80/x
  3. Step 3: Cross multiply
    6,811.64x = 9,399.34 × 3,827.80
  4. Step 4: Simplify right side
    6,811.64x = 35,978,793.65
  5. Step 5: Solve for x
    x = 35,978,793.65/6,811.64
  6. Step 6: Final answer
    x = 5,281.96

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