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Finding the Fourth Proportional to 6,516.62, 9,763.97 and 4,203.26

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Solution

The fourth proportional to 6,516.62, 9,763.97 and 4,203.26 is: 6,297.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.62 : 9,763.97 = 4,203.26 : x
  2. Step 2: Convert to fraction form
    6,516.62/9,763.97 = 4,203.26/x
  3. Step 3: Cross multiply
    6,516.62x = 9,763.97 × 4,203.26
  4. Step 4: Simplify right side
    6,516.62x = 41,040,504.54
  5. Step 5: Solve for x
    x = 41,040,504.54/6,516.62
  6. Step 6: Final answer
    x = 6,297.82

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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.