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Finding the Fourth Proportional to 9,522.42, 13,139.38 and 5,983.14

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Solution

The fourth proportional to 9,522.42, 13,139.38 and 5,983.14 is: 8,255.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.42 : 13,139.38 = 5,983.14 : x
  2. Step 2: Convert to fraction form
    9,522.42/13,139.38 = 5,983.14/x
  3. Step 3: Cross multiply
    9,522.42x = 13,139.38 × 5,983.14
  4. Step 4: Simplify right side
    9,522.42x = 78,614,750.05
  5. Step 5: Solve for x
    x = 78,614,750.05/9,522.42
  6. Step 6: Final answer
    x = 8,255.75

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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.