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Finding the Fourth Proportional to 9,196.08, 12,685.86 and 6,212.04

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Solution

The fourth proportional to 9,196.08, 12,685.86 and 6,212.04 is: 8,569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.08 : 12,685.86 = 6,212.04 : x
  2. Step 2: Convert to fraction form
    9,196.08/12,685.86 = 6,212.04/x
  3. Step 3: Cross multiply
    9,196.08x = 12,685.86 × 6,212.04
  4. Step 4: Simplify right side
    9,196.08x = 78,805,069.75
  5. Step 5: Solve for x
    x = 78,805,069.75/9,196.08
  6. Step 6: Final answer
    x = 8,569.42

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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.