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Finding the Fourth Proportional to 6,243, 9,361.36 and 2,081.58

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Solution

The fourth proportional to 6,243, 9,361.36 and 2,081.58 is: 3,121.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,243 : 9,361.36 = 2,081.58 : x
  2. Step 2: Convert to fraction form
    6,243/9,361.36 = 2,081.58/x
  3. Step 3: Cross multiply
    6,243x = 9,361.36 × 2,081.58
  4. Step 4: Simplify right side
    6,243x = 19,486,419.75
  5. Step 5: Solve for x
    x = 19,486,419.75/6,243
  6. Step 6: Final answer
    x = 3,121.32

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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.