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Finding the Fourth Proportional to 9,456.84, 14,192.82 and 4,263.12

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Solution

The fourth proportional to 9,456.84, 14,192.82 and 4,263.12 is: 6,398.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.84 : 14,192.82 = 4,263.12 : x
  2. Step 2: Convert to fraction form
    9,456.84/14,192.82 = 4,263.12/x
  3. Step 3: Cross multiply
    9,456.84x = 14,192.82 × 4,263.12
  4. Step 4: Simplify right side
    9,456.84x = 60,505,694.80
  5. Step 5: Solve for x
    x = 60,505,694.80/9,456.84
  6. Step 6: Final answer
    x = 6,398.09

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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.