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Finding the Fourth Proportional to 6,564.24, 9,846.30 and 3,789.13

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Solution

The fourth proportional to 6,564.24, 9,846.30 and 3,789.13 is: 5,683.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.24 : 9,846.30 = 3,789.13 : x
  2. Step 2: Convert to fraction form
    6,564.24/9,846.30 = 3,789.13/x
  3. Step 3: Cross multiply
    6,564.24x = 9,846.30 × 3,789.13
  4. Step 4: Simplify right side
    6,564.24x = 37,308,910.72
  5. Step 5: Solve for x
    x = 37,308,910.72/6,564.24
  6. Step 6: Final answer
    x = 5,683.66

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