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Finding the Fourth Proportional to 12,797.70, 19,196.55 and 6,218.22

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Solution

The fourth proportional to 12,797.70, 19,196.55 and 6,218.22 is: 9,327.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.70 : 19,196.55 = 6,218.22 : x
  2. Step 2: Convert to fraction form
    12,797.70/19,196.55 = 6,218.22/x
  3. Step 3: Cross multiply
    12,797.70x = 19,196.55 × 6,218.22
  4. Step 4: Simplify right side
    12,797.70x = 119,368,371.14
  5. Step 5: Solve for x
    x = 119,368,371.14/12,797.70
  6. Step 6: Final answer
    x = 9,327.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.