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Finding the Fourth Proportional to 9,972.96, 13,768.26 and 7,844.28

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Solution

The fourth proportional to 9,972.96, 13,768.26 and 7,844.28 is: 10,829.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.96 : 13,768.26 = 7,844.28 : x
  2. Step 2: Convert to fraction form
    9,972.96/13,768.26 = 7,844.28/x
  3. Step 3: Cross multiply
    9,972.96x = 13,768.26 × 7,844.28
  4. Step 4: Simplify right side
    9,972.96x = 108,002,086.55
  5. Step 5: Solve for x
    x = 108,002,086.55/9,972.96
  6. Step 6: Final answer
    x = 10,829.49

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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.