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Finding the Fourth Proportional to 9,563.38, 13,206.18 and 7,201.42

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Solution

The fourth proportional to 9,563.38, 13,206.18 and 7,201.42 is: 9,944.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.38 : 13,206.18 = 7,201.42 : x
  2. Step 2: Convert to fraction form
    9,563.38/13,206.18 = 7,201.42/x
  3. Step 3: Cross multiply
    9,563.38x = 13,206.18 × 7,201.42
  4. Step 4: Simplify right side
    9,563.38x = 95,103,248.78
  5. Step 5: Solve for x
    x = 95,103,248.78/9,563.38
  6. Step 6: Final answer
    x = 9,944.52

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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.