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Finding the Fourth Proportional to 9,241, 13,861.50 and 3,696.82

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Solution

The fourth proportional to 9,241, 13,861.50 and 3,696.82 is: 5,545.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241 : 13,861.50 = 3,696.82 : x
  2. Step 2: Convert to fraction form
    9,241/13,861.50 = 3,696.82/x
  3. Step 3: Cross multiply
    9,241x = 13,861.50 × 3,696.82
  4. Step 4: Simplify right side
    9,241x = 51,243,470.43
  5. Step 5: Solve for x
    x = 51,243,470.43/9,241
  6. Step 6: Final answer
    x = 5,545.23

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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.