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Finding the Fourth Proportional to 6,520.30, 9,773.07 and 3,235.66

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Solution

The fourth proportional to 6,520.30, 9,773.07 and 3,235.66 is: 4,849.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.30 : 9,773.07 = 3,235.66 : x
  2. Step 2: Convert to fraction form
    6,520.30/9,773.07 = 3,235.66/x
  3. Step 3: Cross multiply
    6,520.30x = 9,773.07 × 3,235.66
  4. Step 4: Simplify right side
    6,520.30x = 31,622,331.68
  5. Step 5: Solve for x
    x = 31,622,331.68/6,520.30
  6. Step 6: Final answer
    x = 4,849.83

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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.