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Finding the Fourth Proportional to 6,181.98, 9,274.16 and 2,020.86

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Solution

The fourth proportional to 6,181.98, 9,274.16 and 2,020.86 is: 3,031.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.98 : 9,274.16 = 2,020.86 : x
  2. Step 2: Convert to fraction form
    6,181.98/9,274.16 = 2,020.86/x
  3. Step 3: Cross multiply
    6,181.98x = 9,274.16 × 2,020.86
  4. Step 4: Simplify right side
    6,181.98x = 18,741,768.87
  5. Step 5: Solve for x
    x = 18,741,768.87/6,181.98
  6. Step 6: Final answer
    x = 3,031.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.