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Finding the Fourth Proportional to 9,194.54, 12,688.09 and 5,215.56

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Solution

The fourth proportional to 9,194.54, 12,688.09 and 5,215.56 is: 7,197.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.54 : 12,688.09 = 5,215.56 : x
  2. Step 2: Convert to fraction form
    9,194.54/12,688.09 = 5,215.56/x
  3. Step 3: Cross multiply
    9,194.54x = 12,688.09 × 5,215.56
  4. Step 4: Simplify right side
    9,194.54x = 66,175,468.60
  5. Step 5: Solve for x
    x = 66,175,468.60/9,194.54
  6. Step 6: Final answer
    x = 7,197.26

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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.