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Finding the Fourth Proportional to 9,162, 13,743 and 2,236.50

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Solution

The fourth proportional to 9,162, 13,743 and 2,236.50 is: 3,354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162 : 13,743 = 2,236.50 : x
  2. Step 2: Convert to fraction form
    9,162/13,743 = 2,236.50/x
  3. Step 3: Cross multiply
    9,162x = 13,743 × 2,236.50
  4. Step 4: Simplify right side
    9,162x = 30,736,219.50
  5. Step 5: Solve for x
    x = 30,736,219.50/9,162
  6. Step 6: Final answer
    x = 3,354.75

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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.