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Finding the Fourth Proportional to 6,645.28, 9,171.50 and 5,049.33

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Solution

The fourth proportional to 6,645.28, 9,171.50 and 5,049.33 is: 6,968.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.28 : 9,171.50 = 5,049.33 : x
  2. Step 2: Convert to fraction form
    6,645.28/9,171.50 = 5,049.33/x
  3. Step 3: Cross multiply
    6,645.28x = 9,171.50 × 5,049.33
  4. Step 4: Simplify right side
    6,645.28x = 46,309,938.85
  5. Step 5: Solve for x
    x = 46,309,938.85/6,645.28
  6. Step 6: Final answer
    x = 6,968.84

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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.