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Finding the Fourth Proportional to 6,872.87, 9,484.43 and 4,183.11

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Solution

The fourth proportional to 6,872.87, 9,484.43 and 4,183.11 is: 5,772.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.87 : 9,484.43 = 4,183.11 : x
  2. Step 2: Convert to fraction form
    6,872.87/9,484.43 = 4,183.11/x
  3. Step 3: Cross multiply
    6,872.87x = 9,484.43 × 4,183.11
  4. Step 4: Simplify right side
    6,872.87x = 39,674,424.44
  5. Step 5: Solve for x
    x = 39,674,424.44/6,872.87
  6. Step 6: Final answer
    x = 5,772.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.