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Finding the Fourth Proportional to 7,052.01, 9,732 and 4,067.97

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Solution

The fourth proportional to 7,052.01, 9,732 and 4,067.97 is: 5,613.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.01 : 9,732 = 4,067.97 : x
  2. Step 2: Convert to fraction form
    7,052.01/9,732 = 4,067.97/x
  3. Step 3: Cross multiply
    7,052.01x = 9,732 × 4,067.97
  4. Step 4: Simplify right side
    7,052.01x = 39,589,484.04
  5. Step 5: Solve for x
    x = 39,589,484.04/7,052.01
  6. Step 6: Final answer
    x = 5,613.93

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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.