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Finding the Fourth Proportional to 6,194.46, 9,287.37 and 2,297.82

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Solution

The fourth proportional to 6,194.46, 9,287.37 and 2,297.82 is: 3,445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.46 : 9,287.37 = 2,297.82 : x
  2. Step 2: Convert to fraction form
    6,194.46/9,287.37 = 2,297.82/x
  3. Step 3: Cross multiply
    6,194.46x = 9,287.37 × 2,297.82
  4. Step 4: Simplify right side
    6,194.46x = 21,340,704.53
  5. Step 5: Solve for x
    x = 21,340,704.53/6,194.46
  6. Step 6: Final answer
    x = 3,445.13

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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.