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Finding the Fourth Proportional to 7,241.22, 9,992.94 and 4,257.18

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Solution

The fourth proportional to 7,241.22, 9,992.94 and 4,257.18 is: 5,874.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.22 : 9,992.94 = 4,257.18 : x
  2. Step 2: Convert to fraction form
    7,241.22/9,992.94 = 4,257.18/x
  3. Step 3: Cross multiply
    7,241.22x = 9,992.94 × 4,257.18
  4. Step 4: Simplify right side
    7,241.22x = 42,541,744.31
  5. Step 5: Solve for x
    x = 42,541,744.31/7,241.22
  6. Step 6: Final answer
    x = 5,874.94

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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.