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Finding the Fourth Proportional to 6,193.80, 9,290.70 and 2,297.43

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Solution

The fourth proportional to 6,193.80, 9,290.70 and 2,297.43 is: 3,446.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.80 : 9,290.70 = 2,297.43 : x
  2. Step 2: Convert to fraction form
    6,193.80/9,290.70 = 2,297.43/x
  3. Step 3: Cross multiply
    6,193.80x = 9,290.70 × 2,297.43
  4. Step 4: Simplify right side
    6,193.80x = 21,344,732.90
  5. Step 5: Solve for x
    x = 21,344,732.90/6,193.80
  6. Step 6: Final answer
    x = 3,446.15

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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.