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Finding the Fourth Proportional to 7,142.04, 9,856.46 and 3,999.24

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Solution

The fourth proportional to 7,142.04, 9,856.46 and 3,999.24 is: 5,519.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.04 : 9,856.46 = 3,999.24 : x
  2. Step 2: Convert to fraction form
    7,142.04/9,856.46 = 3,999.24/x
  3. Step 3: Cross multiply
    7,142.04x = 9,856.46 × 3,999.24
  4. Step 4: Simplify right side
    7,142.04x = 39,418,349.09
  5. Step 5: Solve for x
    x = 39,418,349.09/7,142.04
  6. Step 6: Final answer
    x = 5,519.20

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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.