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Finding the Fourth Proportional to 12,196.35, 18,297.46 and 6,270.79

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Solution

The fourth proportional to 12,196.35, 18,297.46 and 6,270.79 is: 9,407.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.35 : 18,297.46 = 6,270.79 : x
  2. Step 2: Convert to fraction form
    12,196.35/18,297.46 = 6,270.79/x
  3. Step 3: Cross multiply
    12,196.35x = 18,297.46 × 6,270.79
  4. Step 4: Simplify right side
    12,196.35x = 114,739,529.19
  5. Step 5: Solve for x
    x = 114,739,529.19/12,196.35
  6. Step 6: Final answer
    x = 9,407.69

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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.