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Finding the Fourth Proportional to 6,286.35, 9,429.99 and 2,126.80

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Solution

The fourth proportional to 6,286.35, 9,429.99 and 2,126.80 is: 3,190.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.35 : 9,429.99 = 2,126.80 : x
  2. Step 2: Convert to fraction form
    6,286.35/9,429.99 = 2,126.80/x
  3. Step 3: Cross multiply
    6,286.35x = 9,429.99 × 2,126.80
  4. Step 4: Simplify right side
    6,286.35x = 20,055,706.54
  5. Step 5: Solve for x
    x = 20,055,706.54/6,286.35
  6. Step 6: Final answer
    x = 3,190.36

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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.