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Finding the Fourth Proportional to 6,909.49, 10,343.58 and 5,986.09

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Solution

The fourth proportional to 6,909.49, 10,343.58 and 5,986.09 is: 8,961.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.49 : 10,343.58 = 5,986.09 : x
  2. Step 2: Convert to fraction form
    6,909.49/10,343.58 = 5,986.09/x
  3. Step 3: Cross multiply
    6,909.49x = 10,343.58 × 5,986.09
  4. Step 4: Simplify right side
    6,909.49x = 61,917,600.80
  5. Step 5: Solve for x
    x = 61,917,600.80/6,909.49
  6. Step 6: Final answer
    x = 8,961.24

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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.