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Finding the Fourth Proportional to 6,783.69, 9,361.26 and 3,799.65

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Solution

The fourth proportional to 6,783.69, 9,361.26 and 3,799.65 is: 5,243.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.69 : 9,361.26 = 3,799.65 : x
  2. Step 2: Convert to fraction form
    6,783.69/9,361.26 = 3,799.65/x
  3. Step 3: Cross multiply
    6,783.69x = 9,361.26 × 3,799.65
  4. Step 4: Simplify right side
    6,783.69x = 35,569,511.56
  5. Step 5: Solve for x
    x = 35,569,511.56/6,783.69
  6. Step 6: Final answer
    x = 5,243.39

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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.