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Finding the Fourth Proportional to 9,228.92, 13,846.08 and 3,961.16

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Solution

The fourth proportional to 9,228.92, 13,846.08 and 3,961.16 is: 5,942.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.92 : 13,846.08 = 3,961.16 : x
  2. Step 2: Convert to fraction form
    9,228.92/13,846.08 = 3,961.16/x
  3. Step 3: Cross multiply
    9,228.92x = 13,846.08 × 3,961.16
  4. Step 4: Simplify right side
    9,228.92x = 54,846,538.25
  5. Step 5: Solve for x
    x = 54,846,538.25/9,228.92
  6. Step 6: Final answer
    x = 5,942.90

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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.