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Finding the Fourth Proportional to 7,143.26, 9,857.92 and 3,999.44

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Solution

The fourth proportional to 7,143.26, 9,857.92 and 3,999.44 is: 5,519.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.26 : 9,857.92 = 3,999.44 : x
  2. Step 2: Convert to fraction form
    7,143.26/9,857.92 = 3,999.44/x
  3. Step 3: Cross multiply
    7,143.26x = 9,857.92 × 3,999.44
  4. Step 4: Simplify right side
    7,143.26x = 39,426,159.56
  5. Step 5: Solve for x
    x = 39,426,159.56/7,143.26
  6. Step 6: Final answer
    x = 5,519.35

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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.