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Finding the Fourth Proportional to 6,286.26, 8,674.65 and 3,633.24

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Solution

The fourth proportional to 6,286.26, 8,674.65 and 3,633.24 is: 5,013.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.26 : 8,674.65 = 3,633.24 : x
  2. Step 2: Convert to fraction form
    6,286.26/8,674.65 = 3,633.24/x
  3. Step 3: Cross multiply
    6,286.26x = 8,674.65 × 3,633.24
  4. Step 4: Simplify right side
    6,286.26x = 31,517,085.37
  5. Step 5: Solve for x
    x = 31,517,085.37/6,286.26
  6. Step 6: Final answer
    x = 5,013.65

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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.