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Finding the Fourth Proportional to 9,166.56, 13,749.84 and 2,241

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Solution

The fourth proportional to 9,166.56, 13,749.84 and 2,241 is: 3,361.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.56 : 13,749.84 = 2,241 : x
  2. Step 2: Convert to fraction form
    9,166.56/13,749.84 = 2,241/x
  3. Step 3: Cross multiply
    9,166.56x = 13,749.84 × 2,241
  4. Step 4: Simplify right side
    9,166.56x = 30,813,391.44
  5. Step 5: Solve for x
    x = 30,813,391.44/9,166.56
  6. Step 6: Final answer
    x = 3,361.50

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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.