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Finding the Fourth Proportional to 6,407.80, 9,609.26 and 2,511.32

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Solution

The fourth proportional to 6,407.80, 9,609.26 and 2,511.32 is: 3,766.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.80 : 9,609.26 = 2,511.32 : x
  2. Step 2: Convert to fraction form
    6,407.80/9,609.26 = 2,511.32/x
  3. Step 3: Cross multiply
    6,407.80x = 9,609.26 × 2,511.32
  4. Step 4: Simplify right side
    6,407.80x = 24,131,926.82
  5. Step 5: Solve for x
    x = 24,131,926.82/6,407.80
  6. Step 6: Final answer
    x = 3,766.02

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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.