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Finding the Fourth Proportional to 6,147.72, 9,225.28 and 2,198.67

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Solution

The fourth proportional to 6,147.72, 9,225.28 and 2,198.67 is: 3,299.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.72 : 9,225.28 = 2,198.67 : x
  2. Step 2: Convert to fraction form
    6,147.72/9,225.28 = 2,198.67/x
  3. Step 3: Cross multiply
    6,147.72x = 9,225.28 × 2,198.67
  4. Step 4: Simplify right side
    6,147.72x = 20,283,349.13
  5. Step 5: Solve for x
    x = 20,283,349.13/6,147.72
  6. Step 6: Final answer
    x = 3,299.33

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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.