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Finding the Fourth Proportional to 9,996.30, 13,796.55 and 7,614.09

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Solution

The fourth proportional to 9,996.30, 13,796.55 and 7,614.09 is: 10,508.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.30 : 13,796.55 = 7,614.09 : x
  2. Step 2: Convert to fraction form
    9,996.30/13,796.55 = 7,614.09/x
  3. Step 3: Cross multiply
    9,996.30x = 13,796.55 × 7,614.09
  4. Step 4: Simplify right side
    9,996.30x = 105,048,173.39
  5. Step 5: Solve for x
    x = 105,048,173.39/9,996.30
  6. Step 6: Final answer
    x = 10,508.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.