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Finding the Fourth Proportional to 9,196.84, 12,691.94 and 5,218.12

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Solution

The fourth proportional to 9,196.84, 12,691.94 and 5,218.12 is: 7,201.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.84 : 12,691.94 = 5,218.12 : x
  2. Step 2: Convert to fraction form
    9,196.84/12,691.94 = 5,218.12/x
  3. Step 3: Cross multiply
    9,196.84x = 12,691.94 × 5,218.12
  4. Step 4: Simplify right side
    9,196.84x = 66,228,085.08
  5. Step 5: Solve for x
    x = 66,228,085.08/9,196.84
  6. Step 6: Final answer
    x = 7,201.18

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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.