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Finding the Fourth Proportional to 7,241.01, 9,991.30 and 4,257.44

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Solution

The fourth proportional to 7,241.01, 9,991.30 and 4,257.44 is: 5,874.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.01 : 9,991.30 = 4,257.44 : x
  2. Step 2: Convert to fraction form
    7,241.01/9,991.30 = 4,257.44/x
  3. Step 3: Cross multiply
    7,241.01x = 9,991.30 × 4,257.44
  4. Step 4: Simplify right side
    7,241.01x = 42,537,401.32
  5. Step 5: Solve for x
    x = 42,537,401.32/7,241.01
  6. Step 6: Final answer
    x = 5,874.51

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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.