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Finding the Fourth Proportional to 6,414.18, 9,627.34 and 4,224.34

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Solution

The fourth proportional to 6,414.18, 9,627.34 and 4,224.34 is: 6,340.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.18 : 9,627.34 = 4,224.34 : x
  2. Step 2: Convert to fraction form
    6,414.18/9,627.34 = 4,224.34/x
  3. Step 3: Cross multiply
    6,414.18x = 9,627.34 × 4,224.34
  4. Step 4: Simplify right side
    6,414.18x = 40,669,157.46
  5. Step 5: Solve for x
    x = 40,669,157.46/6,414.18
  6. Step 6: Final answer
    x = 6,340.51

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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.