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Finding the Fourth Proportional to 6,296.36, 8,689.43 and 3,778.41

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Solution

The fourth proportional to 6,296.36, 8,689.43 and 3,778.41 is: 5,214.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.36 : 8,689.43 = 3,778.41 : x
  2. Step 2: Convert to fraction form
    6,296.36/8,689.43 = 3,778.41/x
  3. Step 3: Cross multiply
    6,296.36x = 8,689.43 × 3,778.41
  4. Step 4: Simplify right side
    6,296.36x = 32,832,238.65
  5. Step 5: Solve for x
    x = 32,832,238.65/6,296.36
  6. Step 6: Final answer
    x = 5,214.48

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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.