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Finding the Fourth Proportional to 9,183.66, 13,775.67 and 2,609.70

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Solution

The fourth proportional to 9,183.66, 13,775.67 and 2,609.70 is: 3,914.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.66 : 13,775.67 = 2,609.70 : x
  2. Step 2: Convert to fraction form
    9,183.66/13,775.67 = 2,609.70/x
  3. Step 3: Cross multiply
    9,183.66x = 13,775.67 × 2,609.70
  4. Step 4: Simplify right side
    9,183.66x = 35,950,366.00
  5. Step 5: Solve for x
    x = 35,950,366.00/9,183.66
  6. Step 6: Final answer
    x = 3,914.60

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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.