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Finding the Fourth Proportional to 6,109.92, 9,161.61 and 1,948.80

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Solution

The fourth proportional to 6,109.92, 9,161.61 and 1,948.80 is: 2,922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.92 : 9,161.61 = 1,948.80 : x
  2. Step 2: Convert to fraction form
    6,109.92/9,161.61 = 1,948.80/x
  3. Step 3: Cross multiply
    6,109.92x = 9,161.61 × 1,948.80
  4. Step 4: Simplify right side
    6,109.92x = 17,854,145.57
  5. Step 5: Solve for x
    x = 17,854,145.57/6,109.92
  6. Step 6: Final answer
    x = 2,922.16

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