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Finding the Fourth Proportional to 7,031.73, 9,703.49 and 3,844.97

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Solution

The fourth proportional to 7,031.73, 9,703.49 and 3,844.97 is: 5,305.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.73 : 9,703.49 = 3,844.97 : x
  2. Step 2: Convert to fraction form
    7,031.73/9,703.49 = 3,844.97/x
  3. Step 3: Cross multiply
    7,031.73x = 9,703.49 × 3,844.97
  4. Step 4: Simplify right side
    7,031.73x = 37,309,560.20
  5. Step 5: Solve for x
    x = 37,309,560.20/7,031.73
  6. Step 6: Final answer
    x = 5,305.89

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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.