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Finding the Fourth Proportional to 6,189.48, 9,284.61 and 1,806.57

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Solution

The fourth proportional to 6,189.48, 9,284.61 and 1,806.57 is: 2,709.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.48 : 9,284.61 = 1,806.57 : x
  2. Step 2: Convert to fraction form
    6,189.48/9,284.61 = 1,806.57/x
  3. Step 3: Cross multiply
    6,189.48x = 9,284.61 × 1,806.57
  4. Step 4: Simplify right side
    6,189.48x = 16,773,297.89
  5. Step 5: Solve for x
    x = 16,773,297.89/6,189.48
  6. Step 6: Final answer
    x = 2,709.97

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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.