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Finding the Fourth Proportional to 6,269.85, 8,652.17 and 3,617.66

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Solution

The fourth proportional to 6,269.85, 8,652.17 and 3,617.66 is: 4,992.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.85 : 8,652.17 = 3,617.66 : x
  2. Step 2: Convert to fraction form
    6,269.85/8,652.17 = 3,617.66/x
  3. Step 3: Cross multiply
    6,269.85x = 8,652.17 × 3,617.66
  4. Step 4: Simplify right side
    6,269.85x = 31,300,640.00
  5. Step 5: Solve for x
    x = 31,300,640.00/6,269.85
  6. Step 6: Final answer
    x = 4,992.25

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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.