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Finding the Fourth Proportional to 6,183.56, 9,266.68 and 3,411.54

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Solution

The fourth proportional to 6,183.56, 9,266.68 and 3,411.54 is: 5,112.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.56 : 9,266.68 = 3,411.54 : x
  2. Step 2: Convert to fraction form
    6,183.56/9,266.68 = 3,411.54/x
  3. Step 3: Cross multiply
    6,183.56x = 9,266.68 × 3,411.54
  4. Step 4: Simplify right side
    6,183.56x = 31,613,649.49
  5. Step 5: Solve for x
    x = 31,613,649.49/6,183.56
  6. Step 6: Final answer
    x = 5,112.53

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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.