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Finding the Fourth Proportional to 6,542.25, 9,813.82 and 1,862.63

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Solution

The fourth proportional to 6,542.25, 9,813.82 and 1,862.63 is: 2,794.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.25 : 9,813.82 = 1,862.63 : x
  2. Step 2: Convert to fraction form
    6,542.25/9,813.82 = 1,862.63/x
  3. Step 3: Cross multiply
    6,542.25x = 9,813.82 × 1,862.63
  4. Step 4: Simplify right side
    6,542.25x = 18,279,515.55
  5. Step 5: Solve for x
    x = 18,279,515.55/6,542.25
  6. Step 6: Final answer
    x = 2,794.07

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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.