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Finding the Fourth Proportional to 9,091.44, 13,639.76 and 3,823.76

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Solution

The fourth proportional to 9,091.44, 13,639.76 and 3,823.76 is: 5,736.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091.44 : 13,639.76 = 3,823.76 : x
  2. Step 2: Convert to fraction form
    9,091.44/13,639.76 = 3,823.76/x
  3. Step 3: Cross multiply
    9,091.44x = 13,639.76 × 3,823.76
  4. Step 4: Simplify right side
    9,091.44x = 52,155,168.70
  5. Step 5: Solve for x
    x = 52,155,168.70/9,091.44
  6. Step 6: Final answer
    x = 5,736.73

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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.