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Finding the Fourth Proportional to 6,284.29, 8,673.89 and 3,633.24

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Solution

The fourth proportional to 6,284.29, 8,673.89 and 3,633.24 is: 5,014.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.29 : 8,673.89 = 3,633.24 : x
  2. Step 2: Convert to fraction form
    6,284.29/8,673.89 = 3,633.24/x
  3. Step 3: Cross multiply
    6,284.29x = 8,673.89 × 3,633.24
  4. Step 4: Simplify right side
    6,284.29x = 31,514,324.10
  5. Step 5: Solve for x
    x = 31,514,324.10/6,284.29
  6. Step 6: Final answer
    x = 5,014.78

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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.