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Finding the Fourth Proportional to 9,183.61, 13,778.61 and 3,638.66

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Solution

The fourth proportional to 9,183.61, 13,778.61 and 3,638.66 is: 5,459.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.61 : 13,778.61 = 3,638.66 : x
  2. Step 2: Convert to fraction form
    9,183.61/13,778.61 = 3,638.66/x
  3. Step 3: Cross multiply
    9,183.61x = 13,778.61 × 3,638.66
  4. Step 4: Simplify right side
    9,183.61x = 50,135,594.52
  5. Step 5: Solve for x
    x = 50,135,594.52/9,183.61
  6. Step 6: Final answer
    x = 5,459.25

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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.