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Finding the Fourth Proportional to 7,244.77, 9,997.82 and 4,101.57

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Solution

The fourth proportional to 7,244.77, 9,997.82 and 4,101.57 is: 5,660.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,244.77 : 9,997.82 = 4,101.57 : x
  2. Step 2: Convert to fraction form
    7,244.77/9,997.82 = 4,101.57/x
  3. Step 3: Cross multiply
    7,244.77x = 9,997.82 × 4,101.57
  4. Step 4: Simplify right side
    7,244.77x = 41,006,758.58
  5. Step 5: Solve for x
    x = 41,006,758.58/7,244.77
  6. Step 6: Final answer
    x = 5,660.19

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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.