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Finding the Fourth Proportional to 6,378.22, 9,553.46 and 3,084.38

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Solution

The fourth proportional to 6,378.22, 9,553.46 and 3,084.38 is: 4,619.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.22 : 9,553.46 = 3,084.38 : x
  2. Step 2: Convert to fraction form
    6,378.22/9,553.46 = 3,084.38/x
  3. Step 3: Cross multiply
    6,378.22x = 9,553.46 × 3,084.38
  4. Step 4: Simplify right side
    6,378.22x = 29,466,500.95
  5. Step 5: Solve for x
    x = 29,466,500.95/6,378.22
  6. Step 6: Final answer
    x = 4,619.86

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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.