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Finding the Fourth Proportional to 6,197.88, 9,297.63 and 2,301.78

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Solution

The fourth proportional to 6,197.88, 9,297.63 and 2,301.78 is: 3,452.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.88 : 9,297.63 = 2,301.78 : x
  2. Step 2: Convert to fraction form
    6,197.88/9,297.63 = 2,301.78/x
  3. Step 3: Cross multiply
    6,197.88x = 9,297.63 × 2,301.78
  4. Step 4: Simplify right side
    6,197.88x = 21,401,098.78
  5. Step 5: Solve for x
    x = 21,401,098.78/6,197.88
  6. Step 6: Final answer
    x = 3,452.97

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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.