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Finding the Fourth Proportional to 6,213.70, 9,324.42 and 2,320.84

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Solution

The fourth proportional to 6,213.70, 9,324.42 and 2,320.84 is: 3,482.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.70 : 9,324.42 = 2,320.84 : x
  2. Step 2: Convert to fraction form
    6,213.70/9,324.42 = 2,320.84/x
  3. Step 3: Cross multiply
    6,213.70x = 9,324.42 × 2,320.84
  4. Step 4: Simplify right side
    6,213.70x = 21,640,486.91
  5. Step 5: Solve for x
    x = 21,640,486.91/6,213.70
  6. Step 6: Final answer
    x = 3,482.71

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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.