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Finding the Fourth Proportional to 6,414.76, 9,623.83 and 2,717.14

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Solution

The fourth proportional to 6,414.76, 9,623.83 and 2,717.14 is: 4,076.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.76 : 9,623.83 = 2,717.14 : x
  2. Step 2: Convert to fraction form
    6,414.76/9,623.83 = 2,717.14/x
  3. Step 3: Cross multiply
    6,414.76x = 9,623.83 × 2,717.14
  4. Step 4: Simplify right side
    6,414.76x = 26,149,293.45
  5. Step 5: Solve for x
    x = 26,149,293.45/6,414.76
  6. Step 6: Final answer
    x = 4,076.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.