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Finding the Fourth Proportional to 9,724.78, 14,586.90 and 3,149.20

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Solution

The fourth proportional to 9,724.78, 14,586.90 and 3,149.20 is: 4,723.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.78 : 14,586.90 = 3,149.20 : x
  2. Step 2: Convert to fraction form
    9,724.78/14,586.90 = 3,149.20/x
  3. Step 3: Cross multiply
    9,724.78x = 14,586.90 × 3,149.20
  4. Step 4: Simplify right side
    9,724.78x = 45,937,065.48
  5. Step 5: Solve for x
    x = 45,937,065.48/9,724.78
  6. Step 6: Final answer
    x = 4,723.71

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