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Finding the Fourth Proportional to 6,196.34, 9,287.49 and 3,078.52

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Solution

The fourth proportional to 6,196.34, 9,287.49 and 3,078.52 is: 4,614.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.34 : 9,287.49 = 3,078.52 : x
  2. Step 2: Convert to fraction form
    6,196.34/9,287.49 = 3,078.52/x
  3. Step 3: Cross multiply
    6,196.34x = 9,287.49 × 3,078.52
  4. Step 4: Simplify right side
    6,196.34x = 28,591,723.71
  5. Step 5: Solve for x
    x = 28,591,723.71/6,196.34
  6. Step 6: Final answer
    x = 4,614.29

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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.