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Finding the Fourth Proportional to 9,286.45, 13,913.44 and 7,736.38

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Solution

The fourth proportional to 9,286.45, 13,913.44 and 7,736.38 is: 11,591.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.45 : 13,913.44 = 7,736.38 : x
  2. Step 2: Convert to fraction form
    9,286.45/13,913.44 = 7,736.38/x
  3. Step 3: Cross multiply
    9,286.45x = 13,913.44 × 7,736.38
  4. Step 4: Simplify right side
    9,286.45x = 107,639,658.95
  5. Step 5: Solve for x
    x = 107,639,658.95/9,286.45
  6. Step 6: Final answer
    x = 11,591.04

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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.