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Finding the Fourth Proportional to 9,082.26, 12,535.56 and 5,936.67

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Solution

The fourth proportional to 9,082.26, 12,535.56 and 5,936.67 is: 8,193.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.26 : 12,535.56 = 5,936.67 : x
  2. Step 2: Convert to fraction form
    9,082.26/12,535.56 = 5,936.67/x
  3. Step 3: Cross multiply
    9,082.26x = 12,535.56 × 5,936.67
  4. Step 4: Simplify right side
    9,082.26x = 74,419,482.99
  5. Step 5: Solve for x
    x = 74,419,482.99/9,082.26
  6. Step 6: Final answer
    x = 8,193.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.