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Finding the Fourth Proportional to 8,227.83, 12,334.46 and 6,288.69

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Solution

The fourth proportional to 8,227.83, 12,334.46 and 6,288.69 is: 9,427.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.83 : 12,334.46 = 6,288.69 : x
  2. Step 2: Convert to fraction form
    8,227.83/12,334.46 = 6,288.69/x
  3. Step 3: Cross multiply
    8,227.83x = 12,334.46 × 6,288.69
  4. Step 4: Simplify right side
    8,227.83x = 77,567,563.81
  5. Step 5: Solve for x
    x = 77,567,563.81/8,227.83
  6. Step 6: Final answer
    x = 9,427.46

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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.