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Finding the Fourth Proportional to 6,244.68, 9,357.75 and 2,542.38

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Solution

The fourth proportional to 6,244.68, 9,357.75 and 2,542.38 is: 3,809.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,244.68 : 9,357.75 = 2,542.38 : x
  2. Step 2: Convert to fraction form
    6,244.68/9,357.75 = 2,542.38/x
  3. Step 3: Cross multiply
    6,244.68x = 9,357.75 × 2,542.38
  4. Step 4: Simplify right side
    6,244.68x = 23,790,956.45
  5. Step 5: Solve for x
    x = 23,790,956.45/6,244.68
  6. Step 6: Final answer
    x = 3,809.80

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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.