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Finding the Fourth Proportional to 8,232.84, 12,340.62 and 3,846.69

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Solution

The fourth proportional to 8,232.84, 12,340.62 and 3,846.69 is: 5,766.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.84 : 12,340.62 = 3,846.69 : x
  2. Step 2: Convert to fraction form
    8,232.84/12,340.62 = 3,846.69/x
  3. Step 3: Cross multiply
    8,232.84x = 12,340.62 × 3,846.69
  4. Step 4: Simplify right side
    8,232.84x = 47,470,539.55
  5. Step 5: Solve for x
    x = 47,470,539.55/8,232.84
  6. Step 6: Final answer
    x = 5,766.00

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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.