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Finding the Fourth Proportional to 10,144.96, 13,991.52 and 6,605.44

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Solution

The fourth proportional to 10,144.96, 13,991.52 and 6,605.44 is: 9,109.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.96 : 13,991.52 = 6,605.44 : x
  2. Step 2: Convert to fraction form
    10,144.96/13,991.52 = 6,605.44/x
  3. Step 3: Cross multiply
    10,144.96x = 13,991.52 × 6,605.44
  4. Step 4: Simplify right side
    10,144.96x = 92,420,145.87
  5. Step 5: Solve for x
    x = 92,420,145.87/10,144.96
  6. Step 6: Final answer
    x = 9,109.96

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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.