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Finding the Fourth Proportional to 9,806.92, 14,691.27 and 7,836.64

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Solution

The fourth proportional to 9,806.92, 14,691.27 and 7,836.64 is: 11,739.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.92 : 14,691.27 = 7,836.64 : x
  2. Step 2: Convert to fraction form
    9,806.92/14,691.27 = 7,836.64/x
  3. Step 3: Cross multiply
    9,806.92x = 14,691.27 × 7,836.64
  4. Step 4: Simplify right side
    9,806.92x = 115,130,194.13
  5. Step 5: Solve for x
    x = 115,130,194.13/9,806.92
  6. Step 6: Final answer
    x = 11,739.69

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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.