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Finding the Fourth Proportional to 6,098.16, 9,142.80 and 1,936.80

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Solution

The fourth proportional to 6,098.16, 9,142.80 and 1,936.80 is: 2,903.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.16 : 9,142.80 = 1,936.80 : x
  2. Step 2: Convert to fraction form
    6,098.16/9,142.80 = 1,936.80/x
  3. Step 3: Cross multiply
    6,098.16x = 9,142.80 × 1,936.80
  4. Step 4: Simplify right side
    6,098.16x = 17,707,775.04
  5. Step 5: Solve for x
    x = 17,707,775.04/6,098.16
  6. Step 6: Final answer
    x = 2,903.79

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