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Finding the Fourth Proportional to 6,142.33, 9,216.45 and 3,020.64

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Solution

The fourth proportional to 6,142.33, 9,216.45 and 3,020.64 is: 4,532.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.33 : 9,216.45 = 3,020.64 : x
  2. Step 2: Convert to fraction form
    6,142.33/9,216.45 = 3,020.64/x
  3. Step 3: Cross multiply
    6,142.33x = 9,216.45 × 3,020.64
  4. Step 4: Simplify right side
    6,142.33x = 27,839,542.97
  5. Step 5: Solve for x
    x = 27,839,542.97/6,142.33
  6. Step 6: Final answer
    x = 4,532.41

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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.