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Finding the Fourth Proportional to 9,936.25, 13,712.03 and 5,744.77

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Solution

The fourth proportional to 9,936.25, 13,712.03 and 5,744.77 is: 7,927.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,936.25 : 13,712.03 = 5,744.77 : x
  2. Step 2: Convert to fraction form
    9,936.25/13,712.03 = 5,744.77/x
  3. Step 3: Cross multiply
    9,936.25x = 13,712.03 × 5,744.77
  4. Step 4: Simplify right side
    9,936.25x = 78,772,429.86
  5. Step 5: Solve for x
    x = 78,772,429.86/9,936.25
  6. Step 6: Final answer
    x = 7,927.78

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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.