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Finding the Fourth Proportional to 9,821.82, 14,740.42 and 3,982.54

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Solution

The fourth proportional to 9,821.82, 14,740.42 and 3,982.54 is: 5,976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.82 : 14,740.42 = 3,982.54 : x
  2. Step 2: Convert to fraction form
    9,821.82/14,740.42 = 3,982.54/x
  3. Step 3: Cross multiply
    9,821.82x = 14,740.42 × 3,982.54
  4. Step 4: Simplify right side
    9,821.82x = 58,704,312.27
  5. Step 5: Solve for x
    x = 58,704,312.27/9,821.82
  6. Step 6: Final answer
    x = 5,976.93

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