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Finding the Fourth Proportional to 8,227.93, 12,316.37 and 6,654.76

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Solution

The fourth proportional to 8,227.93, 12,316.37 and 6,654.76 is: 9,961.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.93 : 12,316.37 = 6,654.76 : x
  2. Step 2: Convert to fraction form
    8,227.93/12,316.37 = 6,654.76/x
  3. Step 3: Cross multiply
    8,227.93x = 12,316.37 × 6,654.76
  4. Step 4: Simplify right side
    8,227.93x = 81,962,453.15
  5. Step 5: Solve for x
    x = 81,962,453.15/8,227.93
  6. Step 6: Final answer
    x = 9,961.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.