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Finding the Fourth Proportional to 9,297.62, 13,942.92 and 3,749.54

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Solution

The fourth proportional to 9,297.62, 13,942.92 and 3,749.54 is: 5,622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.62 : 13,942.92 = 3,749.54 : x
  2. Step 2: Convert to fraction form
    9,297.62/13,942.92 = 3,749.54/x
  3. Step 3: Cross multiply
    9,297.62x = 13,942.92 × 3,749.54
  4. Step 4: Simplify right side
    9,297.62x = 52,279,536.26
  5. Step 5: Solve for x
    x = 52,279,536.26/9,297.62
  6. Step 6: Final answer
    x = 5,622.89

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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.