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Finding the Fourth Proportional to 7,142.60, 9,857.10 and 3,998.72

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Solution

The fourth proportional to 7,142.60, 9,857.10 and 3,998.72 is: 5,518.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.60 : 9,857.10 = 3,998.72 : x
  2. Step 2: Convert to fraction form
    7,142.60/9,857.10 = 3,998.72/x
  3. Step 3: Cross multiply
    7,142.60x = 9,857.10 × 3,998.72
  4. Step 4: Simplify right side
    7,142.60x = 39,415,782.91
  5. Step 5: Solve for x
    x = 39,415,782.91/7,142.60
  6. Step 6: Final answer
    x = 5,518.41

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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.