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Finding the Fourth Proportional to 6,217.28, 9,329.04 and 2,930

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Solution

The fourth proportional to 6,217.28, 9,329.04 and 2,930 is: 4,396.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217.28 : 9,329.04 = 2,930 : x
  2. Step 2: Convert to fraction form
    6,217.28/9,329.04 = 2,930/x
  3. Step 3: Cross multiply
    6,217.28x = 9,329.04 × 2,930
  4. Step 4: Simplify right side
    6,217.28x = 27,334,087.20
  5. Step 5: Solve for x
    x = 27,334,087.20/6,217.28
  6. Step 6: Final answer
    x = 4,396.47

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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.