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Finding the Fourth Proportional to 7,023.74, 9,693.15 and 3,879.86

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Solution

The fourth proportional to 7,023.74, 9,693.15 and 3,879.86 is: 5,354.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.74 : 9,693.15 = 3,879.86 : x
  2. Step 2: Convert to fraction form
    7,023.74/9,693.15 = 3,879.86/x
  3. Step 3: Cross multiply
    7,023.74x = 9,693.15 × 3,879.86
  4. Step 4: Simplify right side
    7,023.74x = 37,608,064.96
  5. Step 5: Solve for x
    x = 37,608,064.96/7,023.74
  6. Step 6: Final answer
    x = 5,354.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.