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Finding the Fourth Proportional to 9,221.67, 12,721.14 and 6,238.58

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Solution

The fourth proportional to 9,221.67, 12,721.14 and 6,238.58 is: 8,606.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.67 : 12,721.14 = 6,238.58 : x
  2. Step 2: Convert to fraction form
    9,221.67/12,721.14 = 6,238.58/x
  3. Step 3: Cross multiply
    9,221.67x = 12,721.14 × 6,238.58
  4. Step 4: Simplify right side
    9,221.67x = 79,361,785.98
  5. Step 5: Solve for x
    x = 79,361,785.98/9,221.67
  6. Step 6: Final answer
    x = 8,606.01

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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.