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Finding the Fourth Proportional to 6,196.59, 9,293.82 and 2,036.49

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Solution

The fourth proportional to 6,196.59, 9,293.82 and 2,036.49 is: 3,054.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.59 : 9,293.82 = 2,036.49 : x
  2. Step 2: Convert to fraction form
    6,196.59/9,293.82 = 2,036.49/x
  3. Step 3: Cross multiply
    6,196.59x = 9,293.82 × 2,036.49
  4. Step 4: Simplify right side
    6,196.59x = 18,926,771.49
  5. Step 5: Solve for x
    x = 18,926,771.49/6,196.59
  6. Step 6: Final answer
    x = 3,054.38

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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.