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Finding the Fourth Proportional to 7,071.21, 9,758.25 and 3,927.39

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Solution

The fourth proportional to 7,071.21, 9,758.25 and 3,927.39 is: 5,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.21 : 9,758.25 = 3,927.39 : x
  2. Step 2: Convert to fraction form
    7,071.21/9,758.25 = 3,927.39/x
  3. Step 3: Cross multiply
    7,071.21x = 9,758.25 × 3,927.39
  4. Step 4: Simplify right side
    7,071.21x = 38,324,453.47
  5. Step 5: Solve for x
    x = 38,324,453.47/7,071.21
  6. Step 6: Final answer
    x = 5,419.79

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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.