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Finding the Fourth Proportional to 8,223.93, 12,342.24 and 3,296.70

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Solution

The fourth proportional to 8,223.93, 12,342.24 and 3,296.70 is: 4,947.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.93 : 12,342.24 = 3,296.70 : x
  2. Step 2: Convert to fraction form
    8,223.93/12,342.24 = 3,296.70/x
  3. Step 3: Cross multiply
    8,223.93x = 12,342.24 × 3,296.70
  4. Step 4: Simplify right side
    8,223.93x = 40,688,662.61
  5. Step 5: Solve for x
    x = 40,688,662.61/8,223.93
  6. Step 6: Final answer
    x = 4,947.59

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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.