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Finding the Fourth Proportional to 9,466.41, 14,183.99 and 5,757.42

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Solution

The fourth proportional to 9,466.41, 14,183.99 and 5,757.42 is: 8,626.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.41 : 14,183.99 = 5,757.42 : x
  2. Step 2: Convert to fraction form
    9,466.41/14,183.99 = 5,757.42/x
  3. Step 3: Cross multiply
    9,466.41x = 14,183.99 × 5,757.42
  4. Step 4: Simplify right side
    9,466.41x = 81,663,187.71
  5. Step 5: Solve for x
    x = 81,663,187.71/9,466.41
  6. Step 6: Final answer
    x = 8,626.63

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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.