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Finding the Fourth Proportional to 6,286.31, 8,674.14 and 3,633.21

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Solution

The fourth proportional to 6,286.31, 8,674.14 and 3,633.21 is: 5,013.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.31 : 8,674.14 = 3,633.21 : x
  2. Step 2: Convert to fraction form
    6,286.31/8,674.14 = 3,633.21/x
  3. Step 3: Cross multiply
    6,286.31x = 8,674.14 × 3,633.21
  4. Step 4: Simplify right side
    6,286.31x = 31,514,985.81
  5. Step 5: Solve for x
    x = 31,514,985.81/6,286.31
  6. Step 6: Final answer
    x = 5,013.27

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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.