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Finding the Fourth Proportional to 7,233.98, 9,982.89 and 4,090.16

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Solution

The fourth proportional to 7,233.98, 9,982.89 and 4,090.16 is: 5,644.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.98 : 9,982.89 = 4,090.16 : x
  2. Step 2: Convert to fraction form
    7,233.98/9,982.89 = 4,090.16/x
  3. Step 3: Cross multiply
    7,233.98x = 9,982.89 × 4,090.16
  4. Step 4: Simplify right side
    7,233.98x = 40,831,567.45
  5. Step 5: Solve for x
    x = 40,831,567.45/7,233.98
  6. Step 6: Final answer
    x = 5,644.42

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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.