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Finding the Fourth Proportional to 7,071, 9,758.30 and 3,927.20

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Solution

The fourth proportional to 7,071, 9,758.30 and 3,927.20 is: 5,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071 : 9,758.30 = 3,927.20 : x
  2. Step 2: Convert to fraction form
    7,071/9,758.30 = 3,927.20/x
  3. Step 3: Cross multiply
    7,071x = 9,758.30 × 3,927.20
  4. Step 4: Simplify right side
    7,071x = 38,322,727.33
  5. Step 5: Solve for x
    x = 38,322,727.33/7,071
  6. Step 6: Final answer
    x = 5,419.70

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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.