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Finding the Fourth Proportional to 7,234.20, 9,983.34 and 4,090.36

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Solution

The fourth proportional to 7,234.20, 9,983.34 and 4,090.36 is: 5,644.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.20 : 9,983.34 = 4,090.36 : x
  2. Step 2: Convert to fraction form
    7,234.20/9,983.34 = 4,090.36/x
  3. Step 3: Cross multiply
    7,234.20x = 9,983.34 × 4,090.36
  4. Step 4: Simplify right side
    7,234.20x = 40,835,454.60
  5. Step 5: Solve for x
    x = 40,835,454.60/7,234.20
  6. Step 6: Final answer
    x = 5,644.78

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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.