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Finding the Fourth Proportional to 6,196.37, 9,295.13 and 2,036.39

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Solution

The fourth proportional to 6,196.37, 9,295.13 and 2,036.39 is: 3,054.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.37 : 9,295.13 = 2,036.39 : x
  2. Step 2: Convert to fraction form
    6,196.37/9,295.13 = 2,036.39/x
  3. Step 3: Cross multiply
    6,196.37x = 9,295.13 × 2,036.39
  4. Step 4: Simplify right side
    6,196.37x = 18,928,468.40
  5. Step 5: Solve for x
    x = 18,928,468.40/6,196.37
  6. Step 6: Final answer
    x = 3,054.77

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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.