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Finding the Fourth Proportional to 9,694, 14,541.54 and 2,769.04

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Solution

The fourth proportional to 9,694, 14,541.54 and 2,769.04 is: 4,153.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694 : 14,541.54 = 2,769.04 : x
  2. Step 2: Convert to fraction form
    9,694/14,541.54 = 2,769.04/x
  3. Step 3: Cross multiply
    9,694x = 14,541.54 × 2,769.04
  4. Step 4: Simplify right side
    9,694x = 40,266,105.92
  5. Step 5: Solve for x
    x = 40,266,105.92/9,694
  6. Step 6: Final answer
    x = 4,153.71

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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.