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Finding the Fourth Proportional to 6,500.34, 9,745.82 and 3,861.59

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Solution

The fourth proportional to 6,500.34, 9,745.82 and 3,861.59 is: 5,789.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.34 : 9,745.82 = 3,861.59 : x
  2. Step 2: Convert to fraction form
    6,500.34/9,745.82 = 3,861.59/x
  3. Step 3: Cross multiply
    6,500.34x = 9,745.82 × 3,861.59
  4. Step 4: Simplify right side
    6,500.34x = 37,634,382.88
  5. Step 5: Solve for x
    x = 37,634,382.88/6,500.34
  6. Step 6: Final answer
    x = 5,789.60

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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.