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Finding the Fourth Proportional to 6,121.53, 9,185.93 and 2,226.24

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Solution

The fourth proportional to 6,121.53, 9,185.93 and 2,226.24 is: 3,340.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,121.53 : 9,185.93 = 2,226.24 : x
  2. Step 2: Convert to fraction form
    6,121.53/9,185.93 = 2,226.24/x
  3. Step 3: Cross multiply
    6,121.53x = 9,185.93 × 2,226.24
  4. Step 4: Simplify right side
    6,121.53x = 20,450,073.67
  5. Step 5: Solve for x
    x = 20,450,073.67/6,121.53
  6. Step 6: Final answer
    x = 3,340.68

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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.