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Finding the Fourth Proportional to 6,426.46, 9,650.16 and 3,976.89

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Solution

The fourth proportional to 6,426.46, 9,650.16 and 3,976.89 is: 5,971.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.46 : 9,650.16 = 3,976.89 : x
  2. Step 2: Convert to fraction form
    6,426.46/9,650.16 = 3,976.89/x
  3. Step 3: Cross multiply
    6,426.46x = 9,650.16 × 3,976.89
  4. Step 4: Simplify right side
    6,426.46x = 38,377,556.67
  5. Step 5: Solve for x
    x = 38,377,556.67/6,426.46
  6. Step 6: Final answer
    x = 5,971.80

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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.