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Finding the Fourth Proportional to 6,326.70, 9,485.10 and 3,861.06

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Solution

The fourth proportional to 6,326.70, 9,485.10 and 3,861.06 is: 5,788.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.70 : 9,485.10 = 3,861.06 : x
  2. Step 2: Convert to fraction form
    6,326.70/9,485.10 = 3,861.06/x
  3. Step 3: Cross multiply
    6,326.70x = 9,485.10 × 3,861.06
  4. Step 4: Simplify right side
    6,326.70x = 36,622,540.21
  5. Step 5: Solve for x
    x = 36,622,540.21/6,326.70
  6. Step 6: Final answer
    x = 5,788.57

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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.