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Finding the Fourth Proportional to 9,679.10, 14,505.89 and 3,832.52

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Solution

The fourth proportional to 9,679.10, 14,505.89 and 3,832.52 is: 5,743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.10 : 14,505.89 = 3,832.52 : x
  2. Step 2: Convert to fraction form
    9,679.10/14,505.89 = 3,832.52/x
  3. Step 3: Cross multiply
    9,679.10x = 14,505.89 × 3,832.52
  4. Step 4: Simplify right side
    9,679.10x = 55,594,021.85
  5. Step 5: Solve for x
    x = 55,594,021.85/9,679.10
  6. Step 6: Final answer
    x = 5,743.72

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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.