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Finding the Fourth Proportional to 7,071.09, 9,757.83 and 3,927.48

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Solution

The fourth proportional to 7,071.09, 9,757.83 and 3,927.48 is: 5,419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.09 : 9,757.83 = 3,927.48 : x
  2. Step 2: Convert to fraction form
    7,071.09/9,757.83 = 3,927.48/x
  3. Step 3: Cross multiply
    7,071.09x = 9,757.83 × 3,927.48
  4. Step 4: Simplify right side
    7,071.09x = 38,323,682.17
  5. Step 5: Solve for x
    x = 38,323,682.17/7,071.09
  6. Step 6: Final answer
    x = 5,419.77

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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.