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Finding the Fourth Proportional to 6,609.66, 9,914.49 and 3,149.34

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Solution

The fourth proportional to 6,609.66, 9,914.49 and 3,149.34 is: 4,724.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,609.66 : 9,914.49 = 3,149.34 : x
  2. Step 2: Convert to fraction form
    6,609.66/9,914.49 = 3,149.34/x
  3. Step 3: Cross multiply
    6,609.66x = 9,914.49 × 3,149.34
  4. Step 4: Simplify right side
    6,609.66x = 31,224,099.94
  5. Step 5: Solve for x
    x = 31,224,099.94/6,609.66
  6. Step 6: Final answer
    x = 4,724.01

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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.