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Finding the Fourth Proportional to 6,189.68, 9,288.12 and 2,296.76

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Solution

The fourth proportional to 6,189.68, 9,288.12 and 2,296.76 is: 3,446.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.68 : 9,288.12 = 2,296.76 : x
  2. Step 2: Convert to fraction form
    6,189.68/9,288.12 = 2,296.76/x
  3. Step 3: Cross multiply
    6,189.68x = 9,288.12 × 2,296.76
  4. Step 4: Simplify right side
    6,189.68x = 21,332,582.49
  5. Step 5: Solve for x
    x = 21,332,582.49/6,189.68
  6. Step 6: Final answer
    x = 3,446.48

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