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Finding the Fourth Proportional to 9,196.82, 12,690.88 and 5,218.60

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Solution

The fourth proportional to 9,196.82, 12,690.88 and 5,218.60 is: 7,201.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.82 : 12,690.88 = 5,218.60 : x
  2. Step 2: Convert to fraction form
    9,196.82/12,690.88 = 5,218.60/x
  3. Step 3: Cross multiply
    9,196.82x = 12,690.88 × 5,218.60
  4. Step 4: Simplify right side
    9,196.82x = 66,228,536.82
  5. Step 5: Solve for x
    x = 66,228,536.82/9,196.82
  6. Step 6: Final answer
    x = 7,201.25

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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.