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Finding the Fourth Proportional to 6,234.71, 8,603.85 and 3,402.02

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Solution

The fourth proportional to 6,234.71, 8,603.85 and 3,402.02 is: 4,694.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.71 : 8,603.85 = 3,402.02 : x
  2. Step 2: Convert to fraction form
    6,234.71/8,603.85 = 3,402.02/x
  3. Step 3: Cross multiply
    6,234.71x = 8,603.85 × 3,402.02
  4. Step 4: Simplify right side
    6,234.71x = 29,270,469.78
  5. Step 5: Solve for x
    x = 29,270,469.78/6,234.71
  6. Step 6: Final answer
    x = 4,694.76

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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.