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Finding the Fourth Proportional to 7,234.01, 9,982.68 and 4,090.13

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Solution

The fourth proportional to 7,234.01, 9,982.68 and 4,090.13 is: 5,644.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.01 : 9,982.68 = 4,090.13 : x
  2. Step 2: Convert to fraction form
    7,234.01/9,982.68 = 4,090.13/x
  3. Step 3: Cross multiply
    7,234.01x = 9,982.68 × 4,090.13
  4. Step 4: Simplify right side
    7,234.01x = 40,830,458.95
  5. Step 5: Solve for x
    x = 40,830,458.95/7,234.01
  6. Step 6: Final answer
    x = 5,644.24

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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.