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Finding the Fourth Proportional to 6,280.73, 9,416.23 and 3,644.18

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Solution

The fourth proportional to 6,280.73, 9,416.23 and 3,644.18 is: 5,463.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.73 : 9,416.23 = 3,644.18 : x
  2. Step 2: Convert to fraction form
    6,280.73/9,416.23 = 3,644.18/x
  3. Step 3: Cross multiply
    6,280.73x = 9,416.23 × 3,644.18
  4. Step 4: Simplify right side
    6,280.73x = 34,314,380.85
  5. Step 5: Solve for x
    x = 34,314,380.85/6,280.73
  6. Step 6: Final answer
    x = 5,463.44

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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.