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Finding the Fourth Proportional to 7,023.22, 9,691.86 and 3,879.34

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Solution

The fourth proportional to 7,023.22, 9,691.86 and 3,879.34 is: 5,353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.22 : 9,691.86 = 3,879.34 : x
  2. Step 2: Convert to fraction form
    7,023.22/9,691.86 = 3,879.34/x
  3. Step 3: Cross multiply
    7,023.22x = 9,691.86 × 3,879.34
  4. Step 4: Simplify right side
    7,023.22x = 37,598,020.17
  5. Step 5: Solve for x
    x = 37,598,020.17/7,023.22
  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.