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Finding the Fourth Proportional to 9,694.76, 14,541.84 and 2,769.28

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Solution

The fourth proportional to 9,694.76, 14,541.84 and 2,769.28 is: 4,153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.76 : 14,541.84 = 2,769.28 : x
  2. Step 2: Convert to fraction form
    9,694.76/14,541.84 = 2,769.28/x
  3. Step 3: Cross multiply
    9,694.76x = 14,541.84 × 2,769.28
  4. Step 4: Simplify right side
    9,694.76x = 40,270,426.68
  5. Step 5: Solve for x
    x = 40,270,426.68/9,694.76
  6. Step 6: Final answer
    x = 4,153.83

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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.