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Finding the Fourth Proportional to 6,188.72, 9,284.28 and 1,806.20

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Solution

The fourth proportional to 6,188.72, 9,284.28 and 1,806.20 is: 2,709.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.72 : 9,284.28 = 1,806.20 : x
  2. Step 2: Convert to fraction form
    6,188.72/9,284.28 = 1,806.20/x
  3. Step 3: Cross multiply
    6,188.72x = 9,284.28 × 1,806.20
  4. Step 4: Simplify right side
    6,188.72x = 16,769,266.54
  5. Step 5: Solve for x
    x = 16,769,266.54/6,188.72
  6. Step 6: Final answer
    x = 2,709.65

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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.