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Finding the Fourth Proportional to 6,814.94, 9,404.68 and 4,126.22

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Solution

The fourth proportional to 6,814.94, 9,404.68 and 4,126.22 is: 5,694.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.94 : 9,404.68 = 4,126.22 : x
  2. Step 2: Convert to fraction form
    6,814.94/9,404.68 = 4,126.22/x
  3. Step 3: Cross multiply
    6,814.94x = 9,404.68 × 4,126.22
  4. Step 4: Simplify right side
    6,814.94x = 38,805,778.71
  5. Step 5: Solve for x
    x = 38,805,778.71/6,814.94
  6. Step 6: Final answer
    x = 5,694.22

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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.