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Finding the Fourth Proportional to 6,189.26, 9,284.74 and 1,806.08

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Solution

The fourth proportional to 6,189.26, 9,284.74 and 1,806.08 is: 2,709.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.26 : 9,284.74 = 1,806.08 : x
  2. Step 2: Convert to fraction form
    6,189.26/9,284.74 = 1,806.08/x
  3. Step 3: Cross multiply
    6,189.26x = 9,284.74 × 1,806.08
  4. Step 4: Simplify right side
    6,189.26x = 16,768,932.28
  5. Step 5: Solve for x
    x = 16,768,932.28/6,189.26
  6. Step 6: Final answer
    x = 2,709.36

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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.