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Finding the Fourth Proportional to 6,861.26, 9,462.42 and 5,349.19

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Solution

The fourth proportional to 6,861.26, 9,462.42 and 5,349.19 is: 7,377.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.26 : 9,462.42 = 5,349.19 : x
  2. Step 2: Convert to fraction form
    6,861.26/9,462.42 = 5,349.19/x
  3. Step 3: Cross multiply
    6,861.26x = 9,462.42 × 5,349.19
  4. Step 4: Simplify right side
    6,861.26x = 50,616,276.53
  5. Step 5: Solve for x
    x = 50,616,276.53/6,861.26
  6. Step 6: Final answer
    x = 7,377.11

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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.