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Finding the Fourth Proportional to 9,563.38, 13,199.97 and 5,372.98

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Solution

The fourth proportional to 9,563.38, 13,199.97 and 5,372.98 is: 7,416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.38 : 13,199.97 = 5,372.98 : x
  2. Step 2: Convert to fraction form
    9,563.38/13,199.97 = 5,372.98/x
  3. Step 3: Cross multiply
    9,563.38x = 13,199.97 × 5,372.98
  4. Step 4: Simplify right side
    9,563.38x = 70,923,174.81
  5. Step 5: Solve for x
    x = 70,923,174.81/9,563.38
  6. Step 6: Final answer
    x = 7,416.12

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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.