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Finding the Fourth Proportional to 7,233.25, 9,982.50 and 4,090.05

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Solution

The fourth proportional to 7,233.25, 9,982.50 and 4,090.05 is: 5,644.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.25 : 9,982.50 = 4,090.05 : x
  2. Step 2: Convert to fraction form
    7,233.25/9,982.50 = 4,090.05/x
  3. Step 3: Cross multiply
    7,233.25x = 9,982.50 × 4,090.05
  4. Step 4: Simplify right side
    7,233.25x = 40,828,874.21
  5. Step 5: Solve for x
    x = 40,828,874.21/7,233.25
  6. Step 6: Final answer
    x = 5,644.61

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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.