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Finding the Fourth Proportional to 6,885.22, 9,498.49 and 4,231.66

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Solution

The fourth proportional to 6,885.22, 9,498.49 and 4,231.66 is: 5,837.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.22 : 9,498.49 = 4,231.66 : x
  2. Step 2: Convert to fraction form
    6,885.22/9,498.49 = 4,231.66/x
  3. Step 3: Cross multiply
    6,885.22x = 9,498.49 × 4,231.66
  4. Step 4: Simplify right side
    6,885.22x = 40,194,380.19
  5. Step 5: Solve for x
    x = 40,194,380.19/6,885.22
  6. Step 6: Final answer
    x = 5,837.78

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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.