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Finding the Fourth Proportional to 6,517.90, 9,779.61 and 3,400.21

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Solution

The fourth proportional to 6,517.90, 9,779.61 and 3,400.21 is: 5,101.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.90 : 9,779.61 = 3,400.21 : x
  2. Step 2: Convert to fraction form
    6,517.90/9,779.61 = 3,400.21/x
  3. Step 3: Cross multiply
    6,517.90x = 9,779.61 × 3,400.21
  4. Step 4: Simplify right side
    6,517.90x = 33,252,727.72
  5. Step 5: Solve for x
    x = 33,252,727.72/6,517.90
  6. Step 6: Final answer
    x = 5,101.75

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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.