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Finding the Fourth Proportional to 6,197.61, 9,294.44 and 2,036.65

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Solution

The fourth proportional to 6,197.61, 9,294.44 and 2,036.65 is: 3,054.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.61 : 9,294.44 = 2,036.65 : x
  2. Step 2: Convert to fraction form
    6,197.61/9,294.44 = 2,036.65/x
  3. Step 3: Cross multiply
    6,197.61x = 9,294.44 × 2,036.65
  4. Step 4: Simplify right side
    6,197.61x = 18,929,511.04
  5. Step 5: Solve for x
    x = 18,929,511.04/6,197.61
  6. Step 6: Final answer
    x = 3,054.33

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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.