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Finding the Fourth Proportional to 6,213.65, 8,563.29 and 4,617.77

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Solution

The fourth proportional to 6,213.65, 8,563.29 and 4,617.77 is: 6,363.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.65 : 8,563.29 = 4,617.77 : x
  2. Step 2: Convert to fraction form
    6,213.65/8,563.29 = 4,617.77/x
  3. Step 3: Cross multiply
    6,213.65x = 8,563.29 × 4,617.77
  4. Step 4: Simplify right side
    6,213.65x = 39,543,260.85
  5. Step 5: Solve for x
    x = 39,543,260.85/6,213.65
  6. Step 6: Final answer
    x = 6,363.94

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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.