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Finding the Fourth Proportional to 6,206.07, 9,315.26 and 5,049.69

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Solution

The fourth proportional to 6,206.07, 9,315.26 and 5,049.69 is: 7,579.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.07 : 9,315.26 = 5,049.69 : x
  2. Step 2: Convert to fraction form
    6,206.07/9,315.26 = 5,049.69/x
  3. Step 3: Cross multiply
    6,206.07x = 9,315.26 × 5,049.69
  4. Step 4: Simplify right side
    6,206.07x = 47,039,175.27
  5. Step 5: Solve for x
    x = 47,039,175.27/6,206.07
  6. Step 6: Final answer
    x = 7,579.54

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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.