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Finding the Fourth Proportional to 9,767.67, 13,466.70 and 6,224.73

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Solution

The fourth proportional to 9,767.67, 13,466.70 and 6,224.73 is: 8,582.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.67 : 13,466.70 = 6,224.73 : x
  2. Step 2: Convert to fraction form
    9,767.67/13,466.70 = 6,224.73/x
  3. Step 3: Cross multiply
    9,767.67x = 13,466.70 × 6,224.73
  4. Step 4: Simplify right side
    9,767.67x = 83,826,571.49
  5. Step 5: Solve for x
    x = 83,826,571.49/9,767.67
  6. Step 6: Final answer
    x = 8,582.04

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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.