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Finding the Fourth Proportional to 6,788.43, 9,366.24 and 3,916.44

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Solution

The fourth proportional to 6,788.43, 9,366.24 and 3,916.44 is: 5,403.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,788.43 : 9,366.24 = 3,916.44 : x
  2. Step 2: Convert to fraction form
    6,788.43/9,366.24 = 3,916.44/x
  3. Step 3: Cross multiply
    6,788.43x = 9,366.24 × 3,916.44
  4. Step 4: Simplify right side
    6,788.43x = 36,682,316.99
  5. Step 5: Solve for x
    x = 36,682,316.99/6,788.43
  6. Step 6: Final answer
    x = 5,403.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.