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Finding the Fourth Proportional to 9,324.43, 13,984.47 and 5,982.58

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Solution

The fourth proportional to 9,324.43, 13,984.47 and 5,982.58 is: 8,972.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.43 : 13,984.47 = 5,982.58 : x
  2. Step 2: Convert to fraction form
    9,324.43/13,984.47 = 5,982.58/x
  3. Step 3: Cross multiply
    9,324.43x = 13,984.47 × 5,982.58
  4. Step 4: Simplify right side
    9,324.43x = 83,663,210.53
  5. Step 5: Solve for x
    x = 83,663,210.53/9,324.43
  6. Step 6: Final answer
    x = 8,972.47

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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.