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Finding the Fourth Proportional to 9,855.44, 14,749 and 8,079.92

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Solution

The fourth proportional to 9,855.44, 14,749 and 8,079.92 is: 12,091.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.44 : 14,749 = 8,079.92 : x
  2. Step 2: Convert to fraction form
    9,855.44/14,749 = 8,079.92/x
  3. Step 3: Cross multiply
    9,855.44x = 14,749 × 8,079.92
  4. Step 4: Simplify right side
    9,855.44x = 119,170,740.08
  5. Step 5: Solve for x
    x = 119,170,740.08/9,855.44
  6. Step 6: Final answer
    x = 12,091.87

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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.