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Finding the Fourth Proportional to 6,266.80, 9,401.60 and 2,371.24

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Solution

The fourth proportional to 6,266.80, 9,401.60 and 2,371.24 is: 3,557.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.80 : 9,401.60 = 2,371.24 : x
  2. Step 2: Convert to fraction form
    6,266.80/9,401.60 = 2,371.24/x
  3. Step 3: Cross multiply
    6,266.80x = 9,401.60 × 2,371.24
  4. Step 4: Simplify right side
    6,266.80x = 22,293,449.98
  5. Step 5: Solve for x
    x = 22,293,449.98/6,266.80
  6. Step 6: Final answer
    x = 3,557.39

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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.