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Finding the Fourth Proportional to 9,241.44, 13,860.48 and 2,666

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Solution

The fourth proportional to 9,241.44, 13,860.48 and 2,666 is: 3,998.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.44 : 13,860.48 = 2,666 : x
  2. Step 2: Convert to fraction form
    9,241.44/13,860.48 = 2,666/x
  3. Step 3: Cross multiply
    9,241.44x = 13,860.48 × 2,666
  4. Step 4: Simplify right side
    9,241.44x = 36,952,039.68
  5. Step 5: Solve for x
    x = 36,952,039.68/9,241.44
  6. Step 6: Final answer
    x = 3,998.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.