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Finding the Fourth Proportional to 9,105.92, 13,656.52 and 3,261.68

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Solution

The fourth proportional to 9,105.92, 13,656.52 and 3,261.68 is: 4,891.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.92 : 13,656.52 = 3,261.68 : x
  2. Step 2: Convert to fraction form
    9,105.92/13,656.52 = 3,261.68/x
  3. Step 3: Cross multiply
    9,105.92x = 13,656.52 × 3,261.68
  4. Step 4: Simplify right side
    9,105.92x = 44,543,198.15
  5. Step 5: Solve for x
    x = 44,543,198.15/9,105.92
  6. Step 6: Final answer
    x = 4,891.67

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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.