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Finding the Fourth Proportional to 6,916.38, 9,544.67 and 3,772.63

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Solution

The fourth proportional to 6,916.38, 9,544.67 and 3,772.63 is: 5,206.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,916.38 : 9,544.67 = 3,772.63 : x
  2. Step 2: Convert to fraction form
    6,916.38/9,544.67 = 3,772.63/x
  3. Step 3: Cross multiply
    6,916.38x = 9,544.67 × 3,772.63
  4. Step 4: Simplify right side
    6,916.38x = 36,008,508.38
  5. Step 5: Solve for x
    x = 36,008,508.38/6,916.38
  6. Step 6: Final answer
    x = 5,206.27

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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.