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Finding the Fourth Proportional to 9,694.76, 14,542.26 and 2,769.26

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Solution

The fourth proportional to 9,694.76, 14,542.26 and 2,769.26 is: 4,153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.76 : 14,542.26 = 2,769.26 : x
  2. Step 2: Convert to fraction form
    9,694.76/14,542.26 = 2,769.26/x
  3. Step 3: Cross multiply
    9,694.76x = 14,542.26 × 2,769.26
  4. Step 4: Simplify right side
    9,694.76x = 40,271,298.93
  5. Step 5: Solve for x
    x = 40,271,298.93/9,694.76
  6. Step 6: Final answer
    x = 4,153.92

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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.