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Finding the Fourth Proportional to 9,676.74, 13,351.50 and 6,138.66

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Solution

The fourth proportional to 9,676.74, 13,351.50 and 6,138.66 is: 8,469.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.74 : 13,351.50 = 6,138.66 : x
  2. Step 2: Convert to fraction form
    9,676.74/13,351.50 = 6,138.66/x
  3. Step 3: Cross multiply
    9,676.74x = 13,351.50 × 6,138.66
  4. Step 4: Simplify right side
    9,676.74x = 81,960,318.99
  5. Step 5: Solve for x
    x = 81,960,318.99/9,676.74
  6. Step 6: Final answer
    x = 8,469.83

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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.