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Finding the Fourth Proportional to 6,102.72, 8,421.77 and 3,308.22

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Solution

The fourth proportional to 6,102.72, 8,421.77 and 3,308.22 is: 4,565.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.72 : 8,421.77 = 3,308.22 : x
  2. Step 2: Convert to fraction form
    6,102.72/8,421.77 = 3,308.22/x
  3. Step 3: Cross multiply
    6,102.72x = 8,421.77 × 3,308.22
  4. Step 4: Simplify right side
    6,102.72x = 27,861,067.95
  5. Step 5: Solve for x
    x = 27,861,067.95/6,102.72
  6. Step 6: Final answer
    x = 4,565.35

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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.