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Finding the Fourth Proportional to 6,349.55, 9,524.75 and 2,189.97

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Solution

The fourth proportional to 6,349.55, 9,524.75 and 2,189.97 is: 3,285.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.55 : 9,524.75 = 2,189.97 : x
  2. Step 2: Convert to fraction form
    6,349.55/9,524.75 = 2,189.97/x
  3. Step 3: Cross multiply
    6,349.55x = 9,524.75 × 2,189.97
  4. Step 4: Simplify right side
    6,349.55x = 20,858,905.81
  5. Step 5: Solve for x
    x = 20,858,905.81/6,349.55
  6. Step 6: Final answer
    x = 3,285.10

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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.