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Finding the Fourth Proportional to 9,796.90, 14,694.74 and 2,776.62

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Solution

The fourth proportional to 9,796.90, 14,694.74 and 2,776.62 is: 4,164.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.90 : 14,694.74 = 2,776.62 : x
  2. Step 2: Convert to fraction form
    9,796.90/14,694.74 = 2,776.62/x
  3. Step 3: Cross multiply
    9,796.90x = 14,694.74 × 2,776.62
  4. Step 4: Simplify right side
    9,796.90x = 40,801,708.98
  5. Step 5: Solve for x
    x = 40,801,708.98/9,796.90
  6. Step 6: Final answer
    x = 4,164.76

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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.