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Finding the Fourth Proportional to 8,234.40, 12,345.76 and 3,849.44

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Solution

The fourth proportional to 8,234.40, 12,345.76 and 3,849.44 is: 5,771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.40 : 12,345.76 = 3,849.44 : x
  2. Step 2: Convert to fraction form
    8,234.40/12,345.76 = 3,849.44/x
  3. Step 3: Cross multiply
    8,234.40x = 12,345.76 × 3,849.44
  4. Step 4: Simplify right side
    8,234.40x = 47,524,262.37
  5. Step 5: Solve for x
    x = 47,524,262.37/8,234.40
  6. Step 6: Final answer
    x = 5,771.43

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