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Finding the Fourth Proportional to 6,811.23, 9,377.96 and 6,188.37

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Solution

The fourth proportional to 6,811.23, 9,377.96 and 6,188.37 is: 8,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.23 : 9,377.96 = 6,188.37 : x
  2. Step 2: Convert to fraction form
    6,811.23/9,377.96 = 6,188.37/x
  3. Step 3: Cross multiply
    6,811.23x = 9,377.96 × 6,188.37
  4. Step 4: Simplify right side
    6,811.23x = 58,034,255.38
  5. Step 5: Solve for x
    x = 58,034,255.38/6,811.23
  6. Step 6: Final answer
    x = 8,520.38

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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.