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Finding the Fourth Proportional to 7,169.52, 9,893.61 and 3,983.03

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Solution

The fourth proportional to 7,169.52, 9,893.61 and 3,983.03 is: 5,496.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.52 : 9,893.61 = 3,983.03 : x
  2. Step 2: Convert to fraction form
    7,169.52/9,893.61 = 3,983.03/x
  3. Step 3: Cross multiply
    7,169.52x = 9,893.61 × 3,983.03
  4. Step 4: Simplify right side
    7,169.52x = 39,406,481.03
  5. Step 5: Solve for x
    x = 39,406,481.03/7,169.52
  6. Step 6: Final answer
    x = 5,496.39

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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.