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Finding the Fourth Proportional to 9,694.56, 14,540.76 and 2,769.06

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Solution

The fourth proportional to 9,694.56, 14,540.76 and 2,769.06 is: 4,153.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.56 : 14,540.76 = 2,769.06 : x
  2. Step 2: Convert to fraction form
    9,694.56/14,540.76 = 2,769.06/x
  3. Step 3: Cross multiply
    9,694.56x = 14,540.76 × 2,769.06
  4. Step 4: Simplify right side
    9,694.56x = 40,264,236.89
  5. Step 5: Solve for x
    x = 40,264,236.89/9,694.56
  6. Step 6: Final answer
    x = 4,153.28

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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.