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Finding the Fourth Proportional to 9,696.62, 14,543.30 and 2,769.50

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Solution

The fourth proportional to 9,696.62, 14,543.30 and 2,769.50 is: 4,153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.62 : 14,543.30 = 2,769.50 : x
  2. Step 2: Convert to fraction form
    9,696.62/14,543.30 = 2,769.50/x
  3. Step 3: Cross multiply
    9,696.62x = 14,543.30 × 2,769.50
  4. Step 4: Simplify right side
    9,696.62x = 40,277,669.35
  5. Step 5: Solve for x
    x = 40,277,669.35/9,696.62
  6. Step 6: Final answer
    x = 4,153.78

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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.