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Finding the Fourth Proportional to 9,049.50, 12,489.03 and 5,324.22

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Solution

The fourth proportional to 9,049.50, 12,489.03 and 5,324.22 is: 7,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049.50 : 12,489.03 = 5,324.22 : x
  2. Step 2: Convert to fraction form
    9,049.50/12,489.03 = 5,324.22/x
  3. Step 3: Cross multiply
    9,049.50x = 12,489.03 × 5,324.22
  4. Step 4: Simplify right side
    9,049.50x = 66,494,343.31
  5. Step 5: Solve for x
    x = 66,494,343.31/9,049.50
  6. Step 6: Final answer
    x = 7,347.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.