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Finding the Fourth Proportional to 6,404.49, 9,606.66 and 3,789.96

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Solution

The fourth proportional to 6,404.49, 9,606.66 and 3,789.96 is: 5,684.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.49 : 9,606.66 = 3,789.96 : x
  2. Step 2: Convert to fraction form
    6,404.49/9,606.66 = 3,789.96/x
  3. Step 3: Cross multiply
    6,404.49x = 9,606.66 × 3,789.96
  4. Step 4: Simplify right side
    6,404.49x = 36,408,857.13
  5. Step 5: Solve for x
    x = 36,408,857.13/6,404.49
  6. Step 6: Final answer
    x = 5,684.90

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