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Finding the Fourth Proportional to 6,544.36, 9,806.97 and 4,071.67

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Solution

The fourth proportional to 6,544.36, 9,806.97 and 4,071.67 is: 6,101.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.36 : 9,806.97 = 4,071.67 : x
  2. Step 2: Convert to fraction form
    6,544.36/9,806.97 = 4,071.67/x
  3. Step 3: Cross multiply
    6,544.36x = 9,806.97 × 4,071.67
  4. Step 4: Simplify right side
    6,544.36x = 39,930,745.54
  5. Step 5: Solve for x
    x = 39,930,745.54/6,544.36
  6. Step 6: Final answer
    x = 6,101.55

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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.