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Finding the Fourth Proportional to 6,071.26, 9,101.22 and 3,293.86

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Solution

The fourth proportional to 6,071.26, 9,101.22 and 3,293.86 is: 4,937.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.26 : 9,101.22 = 3,293.86 : x
  2. Step 2: Convert to fraction form
    6,071.26/9,101.22 = 3,293.86/x
  3. Step 3: Cross multiply
    6,071.26x = 9,101.22 × 3,293.86
  4. Step 4: Simplify right side
    6,071.26x = 29,978,144.51
  5. Step 5: Solve for x
    x = 29,978,144.51/6,071.26
  6. Step 6: Final answer
    x = 4,937.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.