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Finding the Fourth Proportional to 6,940.35, 9,577.61 and 3,796.50

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Solution

The fourth proportional to 6,940.35, 9,577.61 and 3,796.50 is: 5,239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.35 : 9,577.61 = 3,796.50 : x
  2. Step 2: Convert to fraction form
    6,940.35/9,577.61 = 3,796.50/x
  3. Step 3: Cross multiply
    6,940.35x = 9,577.61 × 3,796.50
  4. Step 4: Simplify right side
    6,940.35x = 36,361,377.38
  5. Step 5: Solve for x
    x = 36,361,377.38/6,940.35
  6. Step 6: Final answer
    x = 5,239.13

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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.