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Finding the Fourth Proportional to 9,115.72, 13,668.10 and 3,568.03

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Solution

The fourth proportional to 9,115.72, 13,668.10 and 3,568.03 is: 5,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.72 : 13,668.10 = 3,568.03 : x
  2. Step 2: Convert to fraction form
    9,115.72/13,668.10 = 3,568.03/x
  3. Step 3: Cross multiply
    9,115.72x = 13,668.10 × 3,568.03
  4. Step 4: Simplify right side
    9,115.72x = 48,768,190.84
  5. Step 5: Solve for x
    x = 48,768,190.84/9,115.72
  6. Step 6: Final answer
    x = 5,349.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.