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Finding the Fourth Proportional to 9,786.08, 14,679.12 and 7,829.12

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Solution

The fourth proportional to 9,786.08, 14,679.12 and 7,829.12 is: 11,743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.08 : 14,679.12 = 7,829.12 : x
  2. Step 2: Convert to fraction form
    9,786.08/14,679.12 = 7,829.12/x
  3. Step 3: Cross multiply
    9,786.08x = 14,679.12 × 7,829.12
  4. Step 4: Simplify right side
    9,786.08x = 114,924,591.97
  5. Step 5: Solve for x
    x = 114,924,591.97/9,786.08
  6. Step 6: Final answer
    x = 11,743.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.