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Finding the Fourth Proportional to 9,769.11, 14,611.79 and 9,060.04

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Solution

The fourth proportional to 9,769.11, 14,611.79 and 9,060.04 is: 13,551.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.11 : 14,611.79 = 9,060.04 : x
  2. Step 2: Convert to fraction form
    9,769.11/14,611.79 = 9,060.04/x
  3. Step 3: Cross multiply
    9,769.11x = 14,611.79 × 9,060.04
  4. Step 4: Simplify right side
    9,769.11x = 132,383,401.87
  5. Step 5: Solve for x
    x = 132,383,401.87/9,769.11
  6. Step 6: Final answer
    x = 13,551.23

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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.