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Finding the Fourth Proportional to 6,105.99, 9,158.78 and 1,946.23

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Solution

The fourth proportional to 6,105.99, 9,158.78 and 1,946.23 is: 2,919.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.99 : 9,158.78 = 1,946.23 : x
  2. Step 2: Convert to fraction form
    6,105.99/9,158.78 = 1,946.23/x
  3. Step 3: Cross multiply
    6,105.99x = 9,158.78 × 1,946.23
  4. Step 4: Simplify right side
    6,105.99x = 17,825,114.94
  5. Step 5: Solve for x
    x = 17,825,114.94/6,105.99
  6. Step 6: Final answer
    x = 2,919.28

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