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Finding the Fourth Proportional to 6,861.15, 9,468.82 and 4,208.19

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Solution

The fourth proportional to 6,861.15, 9,468.82 and 4,208.19 is: 5,807.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.15 : 9,468.82 = 4,208.19 : x
  2. Step 2: Convert to fraction form
    6,861.15/9,468.82 = 4,208.19/x
  3. Step 3: Cross multiply
    6,861.15x = 9,468.82 × 4,208.19
  4. Step 4: Simplify right side
    6,861.15x = 39,846,593.64
  5. Step 5: Solve for x
    x = 39,846,593.64/6,861.15
  6. Step 6: Final answer
    x = 5,807.57

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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.