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Finding the Fourth Proportional to 9,366.10, 13,980.83 and 8,183.78

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Solution

The fourth proportional to 9,366.10, 13,980.83 and 8,183.78 is: 12,215.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,366.10 : 13,980.83 = 8,183.78 : x
  2. Step 2: Convert to fraction form
    9,366.10/13,980.83 = 8,183.78/x
  3. Step 3: Cross multiply
    9,366.10x = 13,980.83 × 8,183.78
  4. Step 4: Simplify right side
    9,366.10x = 114,416,022.44
  5. Step 5: Solve for x
    x = 114,416,022.44/9,366.10
  6. Step 6: Final answer
    x = 12,215.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.