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Finding the Fourth Proportional to 6,214.86, 9,302.85 and 3,285.90

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Solution

The fourth proportional to 6,214.86, 9,302.85 and 3,285.90 is: 4,918.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.86 : 9,302.85 = 3,285.90 : x
  2. Step 2: Convert to fraction form
    6,214.86/9,302.85 = 3,285.90/x
  3. Step 3: Cross multiply
    6,214.86x = 9,302.85 × 3,285.90
  4. Step 4: Simplify right side
    6,214.86x = 30,568,234.82
  5. Step 5: Solve for x
    x = 30,568,234.82/6,214.86
  6. Step 6: Final answer
    x = 4,918.57

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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.