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Finding the Fourth Proportional to 6,538.73, 9,806.67 and 2,378.84

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Solution

The fourth proportional to 6,538.73, 9,806.67 and 2,378.84 is: 3,567.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.73 : 9,806.67 = 2,378.84 : x
  2. Step 2: Convert to fraction form
    6,538.73/9,806.67 = 2,378.84/x
  3. Step 3: Cross multiply
    6,538.73x = 9,806.67 × 2,378.84
  4. Step 4: Simplify right side
    6,538.73x = 23,328,449.83
  5. Step 5: Solve for x
    x = 23,328,449.83/6,538.73
  6. Step 6: Final answer
    x = 3,567.74

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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.