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Finding the Fourth Proportional to 6,767.46, 9,338.33 and 3,783.20

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Solution

The fourth proportional to 6,767.46, 9,338.33 and 3,783.20 is: 5,220.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.46 : 9,338.33 = 3,783.20 : x
  2. Step 2: Convert to fraction form
    6,767.46/9,338.33 = 3,783.20/x
  3. Step 3: Cross multiply
    6,767.46x = 9,338.33 × 3,783.20
  4. Step 4: Simplify right side
    6,767.46x = 35,328,704.45
  5. Step 5: Solve for x
    x = 35,328,704.45/6,767.46
  6. Step 6: Final answer
    x = 5,220.38

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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.