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Finding the Fourth Proportional to 6,861.38, 9,468.90 and 4,208.22

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Solution

The fourth proportional to 6,861.38, 9,468.90 and 4,208.22 is: 5,807.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.38 : 9,468.90 = 4,208.22 : x
  2. Step 2: Convert to fraction form
    6,861.38/9,468.90 = 4,208.22/x
  3. Step 3: Cross multiply
    6,861.38x = 9,468.90 × 4,208.22
  4. Step 4: Simplify right side
    6,861.38x = 39,847,214.36
  5. Step 5: Solve for x
    x = 39,847,214.36/6,861.38
  6. Step 6: Final answer
    x = 5,807.47

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Why These Related Problems?

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