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Finding the Fourth Proportional to 10,679.09, 14,722.31 and 9,202.73

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Solution

The fourth proportional to 10,679.09, 14,722.31 and 9,202.73 is: 12,686.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.09 : 14,722.31 = 9,202.73 : x
  2. Step 2: Convert to fraction form
    10,679.09/14,722.31 = 9,202.73/x
  3. Step 3: Cross multiply
    10,679.09x = 14,722.31 × 9,202.73
  4. Step 4: Simplify right side
    10,679.09x = 135,485,393.30
  5. Step 5: Solve for x
    x = 135,485,393.30/10,679.09
  6. Step 6: Final answer
    x = 12,686.99

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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.