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Finding the Fourth Proportional to 6,542.28, 9,811.94 and 1,862.18

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Solution

The fourth proportional to 6,542.28, 9,811.94 and 1,862.18 is: 2,792.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.28 : 9,811.94 = 1,862.18 : x
  2. Step 2: Convert to fraction form
    6,542.28/9,811.94 = 1,862.18/x
  3. Step 3: Cross multiply
    6,542.28x = 9,811.94 × 1,862.18
  4. Step 4: Simplify right side
    6,542.28x = 18,271,640.86
  5. Step 5: Solve for x
    x = 18,271,640.86/6,542.28
  6. Step 6: Final answer
    x = 2,792.86

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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.