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Finding the Fourth Proportional to 6,408.29, 9,612.43 and 4,216.51

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Solution

The fourth proportional to 6,408.29, 9,612.43 and 4,216.51 is: 6,324.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.29 : 9,612.43 = 4,216.51 : x
  2. Step 2: Convert to fraction form
    6,408.29/9,612.43 = 4,216.51/x
  3. Step 3: Cross multiply
    6,408.29x = 9,612.43 × 4,216.51
  4. Step 4: Simplify right side
    6,408.29x = 40,530,884.27
  5. Step 5: Solve for x
    x = 40,530,884.27/6,408.29
  6. Step 6: Final answer
    x = 6,324.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.