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Finding the Fourth Proportional to 8,836.12, 12,194 and 4,857.22

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Solution

The fourth proportional to 8,836.12, 12,194 and 4,857.22 is: 6,703.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,836.12 : 12,194 = 4,857.22 : x
  2. Step 2: Convert to fraction form
    8,836.12/12,194 = 4,857.22/x
  3. Step 3: Cross multiply
    8,836.12x = 12,194 × 4,857.22
  4. Step 4: Simplify right side
    8,836.12x = 59,228,940.68
  5. Step 5: Solve for x
    x = 59,228,940.68/8,836.12
  6. Step 6: Final answer
    x = 6,703.05

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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.