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Finding the Fourth Proportional to 6,767.06, 9,339.60 and 4,115.30

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Solution

The fourth proportional to 6,767.06, 9,339.60 and 4,115.30 is: 5,679.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.06 : 9,339.60 = 4,115.30 : x
  2. Step 2: Convert to fraction form
    6,767.06/9,339.60 = 4,115.30/x
  3. Step 3: Cross multiply
    6,767.06x = 9,339.60 × 4,115.30
  4. Step 4: Simplify right side
    6,767.06x = 38,435,255.88
  5. Step 5: Solve for x
    x = 38,435,255.88/6,767.06
  6. Step 6: Final answer
    x = 5,679.76

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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.