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Finding the Fourth Proportional to 6,414.45, 9,620.74 and 1,734.73

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Solution

The fourth proportional to 6,414.45, 9,620.74 and 1,734.73 is: 2,601.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.45 : 9,620.74 = 1,734.73 : x
  2. Step 2: Convert to fraction form
    6,414.45/9,620.74 = 1,734.73/x
  3. Step 3: Cross multiply
    6,414.45x = 9,620.74 × 1,734.73
  4. Step 4: Simplify right side
    6,414.45x = 16,689,386.30
  5. Step 5: Solve for x
    x = 16,689,386.30/6,414.45
  6. Step 6: Final answer
    x = 2,601.84

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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.