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Finding the Fourth Proportional to 6,814.40, 9,404.10 and 3,981.33

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Solution

The fourth proportional to 6,814.40, 9,404.10 and 3,981.33 is: 5,494.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.40 : 9,404.10 = 3,981.33 : x
  2. Step 2: Convert to fraction form
    6,814.40/9,404.10 = 3,981.33/x
  3. Step 3: Cross multiply
    6,814.40x = 9,404.10 × 3,981.33
  4. Step 4: Simplify right side
    6,814.40x = 37,440,825.45
  5. Step 5: Solve for x
    x = 37,440,825.45/6,814.40
  6. Step 6: Final answer
    x = 5,494.37

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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.