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Finding the Fourth Proportional to 6,861.30, 9,467.85 and 5,069.73

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Solution

The fourth proportional to 6,861.30, 9,467.85 and 5,069.73 is: 6,995.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.30 : 9,467.85 = 5,069.73 : x
  2. Step 2: Convert to fraction form
    6,861.30/9,467.85 = 5,069.73/x
  3. Step 3: Cross multiply
    6,861.30x = 9,467.85 × 5,069.73
  4. Step 4: Simplify right side
    6,861.30x = 47,999,443.18
  5. Step 5: Solve for x
    x = 47,999,443.18/6,861.30
  6. Step 6: Final answer
    x = 6,995.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.