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Finding the Fourth Proportional to 9,563.38, 13,197.17 and 5,314.42

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Solution

The fourth proportional to 9,563.38, 13,197.17 and 5,314.42 is: 7,333.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.38 : 13,197.17 = 5,314.42 : x
  2. Step 2: Convert to fraction form
    9,563.38/13,197.17 = 5,314.42/x
  3. Step 3: Cross multiply
    9,563.38x = 13,197.17 × 5,314.42
  4. Step 4: Simplify right side
    9,563.38x = 70,135,211.63
  5. Step 5: Solve for x
    x = 70,135,211.63/9,563.38
  6. Step 6: Final answer
    x = 7,333.73

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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.