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Finding the Fourth Proportional to 6,868.86, 9,481.23 and 4,181.55

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Solution

The fourth proportional to 6,868.86, 9,481.23 and 4,181.55 is: 5,771.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,868.86 : 9,481.23 = 4,181.55 : x
  2. Step 2: Convert to fraction form
    6,868.86/9,481.23 = 4,181.55/x
  3. Step 3: Cross multiply
    6,868.86x = 9,481.23 × 4,181.55
  4. Step 4: Simplify right side
    6,868.86x = 39,646,237.31
  5. Step 5: Solve for x
    x = 39,646,237.31/6,868.86
  6. Step 6: Final answer
    x = 5,771.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.