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Finding the Fourth Proportional to 9,843.92, 14,768.16 and 3,269.92

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Solution

The fourth proportional to 9,843.92, 14,768.16 and 3,269.92 is: 4,905.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.92 : 14,768.16 = 3,269.92 : x
  2. Step 2: Convert to fraction form
    9,843.92/14,768.16 = 3,269.92/x
  3. Step 3: Cross multiply
    9,843.92x = 14,768.16 × 3,269.92
  4. Step 4: Simplify right side
    9,843.92x = 48,290,701.75
  5. Step 5: Solve for x
    x = 48,290,701.75/9,843.92
  6. Step 6: Final answer
    x = 4,905.64

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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.