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Finding the Fourth Proportional to 6,219.70, 9,330.41 and 2,270.44

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Solution

The fourth proportional to 6,219.70, 9,330.41 and 2,270.44 is: 3,405.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,219.70 : 9,330.41 = 2,270.44 : x
  2. Step 2: Convert to fraction form
    6,219.70/9,330.41 = 2,270.44/x
  3. Step 3: Cross multiply
    6,219.70x = 9,330.41 × 2,270.44
  4. Step 4: Simplify right side
    6,219.70x = 21,184,136.08
  5. Step 5: Solve for x
    x = 21,184,136.08/6,219.70
  6. Step 6: Final answer
    x = 3,405.97

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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.