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Finding the Fourth Proportional to 6,414.84, 9,622.92 and 1,734.89

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Solution

The fourth proportional to 6,414.84, 9,622.92 and 1,734.89 is: 2,602.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.84 : 9,622.92 = 1,734.89 : x
  2. Step 2: Convert to fraction form
    6,414.84/9,622.92 = 1,734.89/x
  3. Step 3: Cross multiply
    6,414.84x = 9,622.92 × 1,734.89
  4. Step 4: Simplify right side
    6,414.84x = 16,694,659.56
  5. Step 5: Solve for x
    x = 16,694,659.56/6,414.84
  6. Step 6: Final answer
    x = 2,602.51

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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.