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Finding the Fourth Proportional to 9,863.72, 14,795.26 and 3,289.96

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Solution

The fourth proportional to 9,863.72, 14,795.26 and 3,289.96 is: 4,934.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.72 : 14,795.26 = 3,289.96 : x
  2. Step 2: Convert to fraction form
    9,863.72/14,795.26 = 3,289.96/x
  3. Step 3: Cross multiply
    9,863.72x = 14,795.26 × 3,289.96
  4. Step 4: Simplify right side
    9,863.72x = 48,675,723.16
  5. Step 5: Solve for x
    x = 48,675,723.16/9,863.72
  6. Step 6: Final answer
    x = 4,934.83

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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.