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Finding the Fourth Proportional to 6,105.69, 9,158.43 and 1,945.64

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Solution

The fourth proportional to 6,105.69, 9,158.43 and 1,945.64 is: 2,918.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.69 : 9,158.43 = 1,945.64 : x
  2. Step 2: Convert to fraction form
    6,105.69/9,158.43 = 1,945.64/x
  3. Step 3: Cross multiply
    6,105.69x = 9,158.43 × 1,945.64
  4. Step 4: Simplify right side
    6,105.69x = 17,819,037.94
  5. Step 5: Solve for x
    x = 17,819,037.94/6,105.69
  6. Step 6: Final answer
    x = 2,918.43

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