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Finding the Fourth Proportional to 7,071.72, 9,759.28 and 3,927.91

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Solution

The fourth proportional to 7,071.72, 9,759.28 and 3,927.91 is: 5,420.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.72 : 9,759.28 = 3,927.91 : x
  2. Step 2: Convert to fraction form
    7,071.72/9,759.28 = 3,927.91/x
  3. Step 3: Cross multiply
    7,071.72x = 9,759.28 × 3,927.91
  4. Step 4: Simplify right side
    7,071.72x = 38,333,558.93
  5. Step 5: Solve for x
    x = 38,333,558.93/7,071.72
  6. Step 6: Final answer
    x = 5,420.68

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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.