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Finding the Fourth Proportional to 7,142.36, 9,857.49 and 3,998.75

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Solution

The fourth proportional to 7,142.36, 9,857.49 and 3,998.75 is: 5,518.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.36 : 9,857.49 = 3,998.75 : x
  2. Step 2: Convert to fraction form
    7,142.36/9,857.49 = 3,998.75/x
  3. Step 3: Cross multiply
    7,142.36x = 9,857.49 × 3,998.75
  4. Step 4: Simplify right side
    7,142.36x = 39,417,638.14
  5. Step 5: Solve for x
    x = 39,417,638.14/7,142.36
  6. Step 6: Final answer
    x = 5,518.85

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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.