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Finding the Fourth Proportional to 9,806.92, 14,707.18 and 3,231.88

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Solution

The fourth proportional to 9,806.92, 14,707.18 and 3,231.88 is: 4,846.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.92 : 14,707.18 = 3,231.88 : x
  2. Step 2: Convert to fraction form
    9,806.92/14,707.18 = 3,231.88/x
  3. Step 3: Cross multiply
    9,806.92x = 14,707.18 × 3,231.88
  4. Step 4: Simplify right side
    9,806.92x = 47,531,840.90
  5. Step 5: Solve for x
    x = 47,531,840.90/9,806.92
  6. Step 6: Final answer
    x = 4,846.77

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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.