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Finding the Fourth Proportional to 9,105.35, 13,654.73 and 3,180.57

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Solution

The fourth proportional to 9,105.35, 13,654.73 and 3,180.57 is: 4,769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.35 : 13,654.73 = 3,180.57 : x
  2. Step 2: Convert to fraction form
    9,105.35/13,654.73 = 3,180.57/x
  3. Step 3: Cross multiply
    9,105.35x = 13,654.73 × 3,180.57
  4. Step 4: Simplify right side
    9,105.35x = 43,429,840.26
  5. Step 5: Solve for x
    x = 43,429,840.26/9,105.35
  6. Step 6: Final answer
    x = 4,769.71

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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.