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Finding the Fourth Proportional to 6,074.26, 9,115.20 and 3,302.86

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Solution

The fourth proportional to 6,074.26, 9,115.20 and 3,302.86 is: 4,956.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.26 : 9,115.20 = 3,302.86 : x
  2. Step 2: Convert to fraction form
    6,074.26/9,115.20 = 3,302.86/x
  3. Step 3: Cross multiply
    6,074.26x = 9,115.20 × 3,302.86
  4. Step 4: Simplify right side
    6,074.26x = 30,106,229.47
  5. Step 5: Solve for x
    x = 30,106,229.47/6,074.26
  6. Step 6: Final answer
    x = 4,956.36

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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.