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Finding the Fourth Proportional to 9,241, 13,861.62 and 3,085

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Solution

The fourth proportional to 9,241, 13,861.62 and 3,085 is: 4,627.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241 : 13,861.62 = 3,085 : x
  2. Step 2: Convert to fraction form
    9,241/13,861.62 = 3,085/x
  3. Step 3: Cross multiply
    9,241x = 13,861.62 × 3,085
  4. Step 4: Simplify right side
    9,241x = 42,763,097.70
  5. Step 5: Solve for x
    x = 42,763,097.70/9,241
  6. Step 6: Final answer
    x = 4,627.54

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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.