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Finding the Fourth Proportional to 6,295.24, 9,442.23 and 1,912.73

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Solution

The fourth proportional to 6,295.24, 9,442.23 and 1,912.73 is: 2,868.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.24 : 9,442.23 = 1,912.73 : x
  2. Step 2: Convert to fraction form
    6,295.24/9,442.23 = 1,912.73/x
  3. Step 3: Cross multiply
    6,295.24x = 9,442.23 × 1,912.73
  4. Step 4: Simplify right side
    6,295.24x = 18,060,436.59
  5. Step 5: Solve for x
    x = 18,060,436.59/6,295.24
  6. Step 6: Final answer
    x = 2,868.90

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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.