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Finding the Fourth Proportional to 9,323.43, 13,982.97 and 5,981.58

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Solution

The fourth proportional to 9,323.43, 13,982.97 and 5,981.58 is: 8,970.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.43 : 13,982.97 = 5,981.58 : x
  2. Step 2: Convert to fraction form
    9,323.43/13,982.97 = 5,981.58/x
  3. Step 3: Cross multiply
    9,323.43x = 13,982.97 × 5,981.58
  4. Step 4: Simplify right side
    9,323.43x = 83,640,253.69
  5. Step 5: Solve for x
    x = 83,640,253.69/9,323.43
  6. Step 6: Final answer
    x = 8,970.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.