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Finding the Fourth Proportional to 6,537.11, 9,806.97 and 3,418.52

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Solution

The fourth proportional to 6,537.11, 9,806.97 and 3,418.52 is: 5,128.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.11 : 9,806.97 = 3,418.52 : x
  2. Step 2: Convert to fraction form
    6,537.11/9,806.97 = 3,418.52/x
  3. Step 3: Cross multiply
    6,537.11x = 9,806.97 × 3,418.52
  4. Step 4: Simplify right side
    6,537.11x = 33,525,323.08
  5. Step 5: Solve for x
    x = 33,525,323.08/6,537.11
  6. Step 6: Final answer
    x = 5,128.46

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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.