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Finding the Fourth Proportional to 6,767.08, 9,338.19 and 3,782.32

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Solution

The fourth proportional to 6,767.08, 9,338.19 and 3,782.32 is: 5,219.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.08 : 9,338.19 = 3,782.32 : x
  2. Step 2: Convert to fraction form
    6,767.08/9,338.19 = 3,782.32/x
  3. Step 3: Cross multiply
    6,767.08x = 9,338.19 × 3,782.32
  4. Step 4: Simplify right side
    6,767.08x = 35,320,022.80
  5. Step 5: Solve for x
    x = 35,320,022.80/6,767.08
  6. Step 6: Final answer
    x = 5,219.39

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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.