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Finding the Fourth Proportional to 9,196.43, 12,694.88 and 6,216.30

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Solution

The fourth proportional to 9,196.43, 12,694.88 and 6,216.30 is: 8,581.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.43 : 12,694.88 = 6,216.30 : x
  2. Step 2: Convert to fraction form
    9,196.43/12,694.88 = 6,216.30/x
  3. Step 3: Cross multiply
    9,196.43x = 12,694.88 × 6,216.30
  4. Step 4: Simplify right side
    9,196.43x = 78,915,127.17
  5. Step 5: Solve for x
    x = 78,915,127.17/9,196.43
  6. Step 6: Final answer
    x = 8,581.07

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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.