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Finding the Fourth Proportional to 9,977.49, 13,770.24 and 6,000.78

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Solution

The fourth proportional to 9,977.49, 13,770.24 and 6,000.78 is: 8,281.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.49 : 13,770.24 = 6,000.78 : x
  2. Step 2: Convert to fraction form
    9,977.49/13,770.24 = 6,000.78/x
  3. Step 3: Cross multiply
    9,977.49x = 13,770.24 × 6,000.78
  4. Step 4: Simplify right side
    9,977.49x = 82,632,180.79
  5. Step 5: Solve for x
    x = 82,632,180.79/9,977.49
  6. Step 6: Final answer
    x = 8,281.86

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