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Finding the Fourth Proportional to 6,942.92, 9,581.20 and 3,756.22

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Solution

The fourth proportional to 6,942.92, 9,581.20 and 3,756.22 is: 5,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.92 : 9,581.20 = 3,756.22 : x
  2. Step 2: Convert to fraction form
    6,942.92/9,581.20 = 3,756.22/x
  3. Step 3: Cross multiply
    6,942.92x = 9,581.20 × 3,756.22
  4. Step 4: Simplify right side
    6,942.92x = 35,989,136.74
  5. Step 5: Solve for x
    x = 35,989,136.74/6,942.92
  6. Step 6: Final answer
    x = 5,183.57

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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.