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Finding the Fourth Proportional to 6,194.85, 9,292.16 and 2,496.98

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Solution

The fourth proportional to 6,194.85, 9,292.16 and 2,496.98 is: 3,745.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.85 : 9,292.16 = 2,496.98 : x
  2. Step 2: Convert to fraction form
    6,194.85/9,292.16 = 2,496.98/x
  3. Step 3: Cross multiply
    6,194.85x = 9,292.16 × 2,496.98
  4. Step 4: Simplify right side
    6,194.85x = 23,202,278.73
  5. Step 5: Solve for x
    x = 23,202,278.73/6,194.85
  6. Step 6: Final answer
    x = 3,745.41

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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.