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Finding the Fourth Proportional to 9,694.06, 14,519.22 and 4,489

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Solution

The fourth proportional to 9,694.06, 14,519.22 and 4,489 is: 6,723.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.06 : 14,519.22 = 4,489 : x
  2. Step 2: Convert to fraction form
    9,694.06/14,519.22 = 4,489/x
  3. Step 3: Cross multiply
    9,694.06x = 14,519.22 × 4,489
  4. Step 4: Simplify right side
    9,694.06x = 65,176,778.58
  5. Step 5: Solve for x
    x = 65,176,778.58/9,694.06
  6. Step 6: Final answer
    x = 6,723.37

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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.