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Finding the Fourth Proportional to 7,023.06, 9,691.87 and 3,879.25

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Solution

The fourth proportional to 7,023.06, 9,691.87 and 3,879.25 is: 5,353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.06 : 9,691.87 = 3,879.25 : x
  2. Step 2: Convert to fraction form
    7,023.06/9,691.87 = 3,879.25/x
  3. Step 3: Cross multiply
    7,023.06x = 9,691.87 × 3,879.25
  4. Step 4: Simplify right side
    7,023.06x = 37,597,186.70
  5. Step 5: Solve for x
    x = 37,597,186.70/7,023.06
  6. Step 6: Final answer
    x = 5,353.39

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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.