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Finding the Fourth Proportional to 6,517.74, 9,774.55 and 2,134.19

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Solution

The fourth proportional to 6,517.74, 9,774.55 and 2,134.19 is: 3,200.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.74 : 9,774.55 = 2,134.19 : x
  2. Step 2: Convert to fraction form
    6,517.74/9,774.55 = 2,134.19/x
  3. Step 3: Cross multiply
    6,517.74x = 9,774.55 × 2,134.19
  4. Step 4: Simplify right side
    6,517.74x = 20,860,765.97
  5. Step 5: Solve for x
    x = 20,860,765.97/6,517.74
  6. Step 6: Final answer
    x = 3,200.61

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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.