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Finding the Fourth Proportional to 9,194.16, 13,794.92 and 3,651.47

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Solution

The fourth proportional to 9,194.16, 13,794.92 and 3,651.47 is: 5,478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.16 : 13,794.92 = 3,651.47 : x
  2. Step 2: Convert to fraction form
    9,194.16/13,794.92 = 3,651.47/x
  3. Step 3: Cross multiply
    9,194.16x = 13,794.92 × 3,651.47
  4. Step 4: Simplify right side
    9,194.16x = 50,371,736.53
  5. Step 5: Solve for x
    x = 50,371,736.53/9,194.16
  6. Step 6: Final answer
    x = 5,478.67

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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.