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Finding the Fourth Proportional to 9,155.16, 13,727.34 and 3,229.20

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Solution

The fourth proportional to 9,155.16, 13,727.34 and 3,229.20 is: 4,841.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.16 : 13,727.34 = 3,229.20 : x
  2. Step 2: Convert to fraction form
    9,155.16/13,727.34 = 3,229.20/x
  3. Step 3: Cross multiply
    9,155.16x = 13,727.34 × 3,229.20
  4. Step 4: Simplify right side
    9,155.16x = 44,328,326.33
  5. Step 5: Solve for x
    x = 44,328,326.33/9,155.16
  6. Step 6: Final answer
    x = 4,841.90

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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.