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Finding the Fourth Proportional to 9,297.65, 13,942.62 and 3,749.51

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Solution

The fourth proportional to 9,297.65, 13,942.62 and 3,749.51 is: 5,622.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.65 : 13,942.62 = 3,749.51 : x
  2. Step 2: Convert to fraction form
    9,297.65/13,942.62 = 3,749.51/x
  3. Step 3: Cross multiply
    9,297.65x = 13,942.62 × 3,749.51
  4. Step 4: Simplify right side
    9,297.65x = 52,278,027.97
  5. Step 5: Solve for x
    x = 52,278,027.97/9,297.65
  6. Step 6: Final answer
    x = 5,622.71

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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.