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Finding the Fourth Proportional to 6,123.33, 9,179.73 and 3,000.24

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Solution

The fourth proportional to 6,123.33, 9,179.73 and 3,000.24 is: 4,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.33 : 9,179.73 = 3,000.24 : x
  2. Step 2: Convert to fraction form
    6,123.33/9,179.73 = 3,000.24/x
  3. Step 3: Cross multiply
    6,123.33x = 9,179.73 × 3,000.24
  4. Step 4: Simplify right side
    6,123.33x = 27,541,393.14
  5. Step 5: Solve for x
    x = 27,541,393.14/6,123.33
  6. Step 6: Final answer
    x = 4,497.78

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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.