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Finding the Fourth Proportional to 6,286.80, 8,675.77 and 4,297.31

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Solution

The fourth proportional to 6,286.80, 8,675.77 and 4,297.31 is: 5,930.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.80 : 8,675.77 = 4,297.31 : x
  2. Step 2: Convert to fraction form
    6,286.80/8,675.77 = 4,297.31/x
  3. Step 3: Cross multiply
    6,286.80x = 8,675.77 × 4,297.31
  4. Step 4: Simplify right side
    6,286.80x = 37,282,473.18
  5. Step 5: Solve for x
    x = 37,282,473.18/6,286.80
  6. Step 6: Final answer
    x = 5,930.28

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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.