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Finding the Fourth Proportional to 6,619.28, 9,134 and 3,824.80

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Solution

The fourth proportional to 6,619.28, 9,134 and 3,824.80 is: 5,277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,619.28 : 9,134 = 3,824.80 : x
  2. Step 2: Convert to fraction form
    6,619.28/9,134 = 3,824.80/x
  3. Step 3: Cross multiply
    6,619.28x = 9,134 × 3,824.80
  4. Step 4: Simplify right side
    6,619.28x = 34,935,723.20
  5. Step 5: Solve for x
    x = 34,935,723.20/6,619.28
  6. Step 6: Final answer
    x = 5,277.87

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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.