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Finding the Fourth Proportional to 7,049.26, 9,729.12 and 4,064.56

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Solution

The fourth proportional to 7,049.26, 9,729.12 and 4,064.56 is: 5,609.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.26 : 9,729.12 = 4,064.56 : x
  2. Step 2: Convert to fraction form
    7,049.26/9,729.12 = 4,064.56/x
  3. Step 3: Cross multiply
    7,049.26x = 9,729.12 × 4,064.56
  4. Step 4: Simplify right side
    7,049.26x = 39,544,591.99
  5. Step 5: Solve for x
    x = 39,544,591.99/7,049.26
  6. Step 6: Final answer
    x = 5,609.75

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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.