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Finding the Fourth Proportional to 6,431.22, 8,874.98 and 3,778.86

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Solution

The fourth proportional to 6,431.22, 8,874.98 and 3,778.86 is: 5,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.22 : 8,874.98 = 3,778.86 : x
  2. Step 2: Convert to fraction form
    6,431.22/8,874.98 = 3,778.86/x
  3. Step 3: Cross multiply
    6,431.22x = 8,874.98 × 3,778.86
  4. Step 4: Simplify right side
    6,431.22x = 33,537,306.92
  5. Step 5: Solve for x
    x = 33,537,306.92/6,431.22
  6. Step 6: Final answer
    x = 5,214.77

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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.