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Finding the Fourth Proportional to 9,942.70, 13,720.10 and 5,853.84

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Solution

The fourth proportional to 9,942.70, 13,720.10 and 5,853.84 is: 8,077.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942.70 : 13,720.10 = 5,853.84 : x
  2. Step 2: Convert to fraction form
    9,942.70/13,720.10 = 5,853.84/x
  3. Step 3: Cross multiply
    9,942.70x = 13,720.10 × 5,853.84
  4. Step 4: Simplify right side
    9,942.70x = 80,315,338.16
  5. Step 5: Solve for x
    x = 80,315,338.16/9,942.70
  6. Step 6: Final answer
    x = 8,077.82

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