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Finding the Fourth Proportional to 6,909.49, 10,364.18 and 3,209.66

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Solution

The fourth proportional to 6,909.49, 10,364.18 and 3,209.66 is: 4,814.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.49 : 10,364.18 = 3,209.66 : x
  2. Step 2: Convert to fraction form
    6,909.49/10,364.18 = 3,209.66/x
  3. Step 3: Cross multiply
    6,909.49x = 10,364.18 × 3,209.66
  4. Step 4: Simplify right side
    6,909.49x = 33,265,493.98
  5. Step 5: Solve for x
    x = 33,265,493.98/6,909.49
  6. Step 6: Final answer
    x = 4,814.46

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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.