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Finding the Fourth Proportional to 6,537.03, 9,806.72 and 2,382.87

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Solution

The fourth proportional to 6,537.03, 9,806.72 and 2,382.87 is: 3,574.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.03 : 9,806.72 = 2,382.87 : x
  2. Step 2: Convert to fraction form
    6,537.03/9,806.72 = 2,382.87/x
  3. Step 3: Cross multiply
    6,537.03x = 9,806.72 × 2,382.87
  4. Step 4: Simplify right side
    6,537.03x = 23,368,121.99
  5. Step 5: Solve for x
    x = 23,368,121.99/6,537.03
  6. Step 6: Final answer
    x = 3,574.73

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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.