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Finding the Fourth Proportional to 9,388.22, 12,955.86 and 5,196.47

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Solution

The fourth proportional to 9,388.22, 12,955.86 and 5,196.47 is: 7,171.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,388.22 : 12,955.86 = 5,196.47 : x
  2. Step 2: Convert to fraction form
    9,388.22/12,955.86 = 5,196.47/x
  3. Step 3: Cross multiply
    9,388.22x = 12,955.86 × 5,196.47
  4. Step 4: Simplify right side
    9,388.22x = 67,324,673.03
  5. Step 5: Solve for x
    x = 67,324,673.03/9,388.22
  6. Step 6: Final answer
    x = 7,171.19

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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.