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Finding the Fourth Proportional to 6,798.26, 9,381.57 and 3,814.09

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Solution

The fourth proportional to 6,798.26, 9,381.57 and 3,814.09 is: 5,263.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.26 : 9,381.57 = 3,814.09 : x
  2. Step 2: Convert to fraction form
    6,798.26/9,381.57 = 3,814.09/x
  3. Step 3: Cross multiply
    6,798.26x = 9,381.57 × 3,814.09
  4. Step 4: Simplify right side
    6,798.26x = 35,782,152.32
  5. Step 5: Solve for x
    x = 35,782,152.32/6,798.26
  6. Step 6: Final answer
    x = 5,263.43

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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.