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Finding the Fourth Proportional to 9,771.67, 13,472.22 and 6,228.73

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Solution

The fourth proportional to 9,771.67, 13,472.22 and 6,228.73 is: 8,587.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.67 : 13,472.22 = 6,228.73 : x
  2. Step 2: Convert to fraction form
    9,771.67/13,472.22 = 6,228.73/x
  3. Step 3: Cross multiply
    9,771.67x = 13,472.22 × 6,228.73
  4. Step 4: Simplify right side
    9,771.67x = 83,914,820.88
  5. Step 5: Solve for x
    x = 83,914,820.88/9,771.67
  6. Step 6: Final answer
    x = 8,587.56

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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.