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Finding the Fourth Proportional to 6,241.30, 9,359.17 and 2,342.95

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Solution

The fourth proportional to 6,241.30, 9,359.17 and 2,342.95 is: 3,513.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.30 : 9,359.17 = 2,342.95 : x
  2. Step 2: Convert to fraction form
    6,241.30/9,359.17 = 2,342.95/x
  3. Step 3: Cross multiply
    6,241.30x = 9,359.17 × 2,342.95
  4. Step 4: Simplify right side
    6,241.30x = 21,928,067.35
  5. Step 5: Solve for x
    x = 21,928,067.35/6,241.30
  6. Step 6: Final answer
    x = 3,513.38

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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.