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Finding the Fourth Proportional to 6,241.62, 9,362.40 and 2,542.98

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Solution

The fourth proportional to 6,241.62, 9,362.40 and 2,542.98 is: 3,814.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.62 : 9,362.40 = 2,542.98 : x
  2. Step 2: Convert to fraction form
    6,241.62/9,362.40 = 2,542.98/x
  3. Step 3: Cross multiply
    6,241.62x = 9,362.40 × 2,542.98
  4. Step 4: Simplify right side
    6,241.62x = 23,808,395.95
  5. Step 5: Solve for x
    x = 23,808,395.95/6,241.62
  6. Step 6: Final answer
    x = 3,814.46

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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.