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Finding the Fourth Proportional to 6,142.48, 9,211.80 and 5,789.20

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Solution

The fourth proportional to 6,142.48, 9,211.80 and 5,789.20 is: 8,681.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.48 : 9,211.80 = 5,789.20 : x
  2. Step 2: Convert to fraction form
    6,142.48/9,211.80 = 5,789.20/x
  3. Step 3: Cross multiply
    6,142.48x = 9,211.80 × 5,789.20
  4. Step 4: Simplify right side
    6,142.48x = 53,328,952.56
  5. Step 5: Solve for x
    x = 53,328,952.56/6,142.48
  6. Step 6: Final answer
    x = 8,681.99

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