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Finding the Fourth Proportional to 6,194.57, 9,291.85 and 2,681.70

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Solution

The fourth proportional to 6,194.57, 9,291.85 and 2,681.70 is: 4,022.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.57 : 9,291.85 = 2,681.70 : x
  2. Step 2: Convert to fraction form
    6,194.57/9,291.85 = 2,681.70/x
  3. Step 3: Cross multiply
    6,194.57x = 9,291.85 × 2,681.70
  4. Step 4: Simplify right side
    6,194.57x = 24,917,954.15
  5. Step 5: Solve for x
    x = 24,917,954.15/6,194.57
  6. Step 6: Final answer
    x = 4,022.55

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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.