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Finding the Fourth Proportional to 6,697.98, 9,242.36 and 3,713.78

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Solution

The fourth proportional to 6,697.98, 9,242.36 and 3,713.78 is: 5,124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.98 : 9,242.36 = 3,713.78 : x
  2. Step 2: Convert to fraction form
    6,697.98/9,242.36 = 3,713.78/x
  3. Step 3: Cross multiply
    6,697.98x = 9,242.36 × 3,713.78
  4. Step 4: Simplify right side
    6,697.98x = 34,324,091.72
  5. Step 5: Solve for x
    x = 34,324,091.72/6,697.98
  6. Step 6: Final answer
    x = 5,124.54

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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.