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Finding the Fourth Proportional to 9,241.20, 13,863.80 and 3,398.24

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Solution

The fourth proportional to 9,241.20, 13,863.80 and 3,398.24 is: 5,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.20 : 13,863.80 = 3,398.24 : x
  2. Step 2: Convert to fraction form
    9,241.20/13,863.80 = 3,398.24/x
  3. Step 3: Cross multiply
    9,241.20x = 13,863.80 × 3,398.24
  4. Step 4: Simplify right side
    9,241.20x = 47,112,519.71
  5. Step 5: Solve for x
    x = 47,112,519.71/9,241.20
  6. Step 6: Final answer
    x = 5,098.10

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