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Finding the Fourth Proportional to 9,241.90, 13,862.42 and 3,398.08

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Solution

The fourth proportional to 9,241.90, 13,862.42 and 3,398.08 is: 5,096.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.90 : 13,862.42 = 3,398.08 : x
  2. Step 2: Convert to fraction form
    9,241.90/13,862.42 = 3,398.08/x
  3. Step 3: Cross multiply
    9,241.90x = 13,862.42 × 3,398.08
  4. Step 4: Simplify right side
    9,241.90x = 47,105,612.15
  5. Step 5: Solve for x
    x = 47,105,612.15/9,241.90
  6. Step 6: Final answer
    x = 5,096.96

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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.