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Finding the Fourth Proportional to 8,424.09, 12,626.31 and 6,337.38

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Solution

The fourth proportional to 8,424.09, 12,626.31 and 6,337.38 is: 9,498.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.09 : 12,626.31 = 6,337.38 : x
  2. Step 2: Convert to fraction form
    8,424.09/12,626.31 = 6,337.38/x
  3. Step 3: Cross multiply
    8,424.09x = 12,626.31 × 6,337.38
  4. Step 4: Simplify right side
    8,424.09x = 80,017,756.03
  5. Step 5: Solve for x
    x = 80,017,756.03/8,424.09
  6. Step 6: Final answer
    x = 9,498.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.