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Finding the Fourth Proportional to 6,806.82, 9,391.02 and 4,450.35

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Solution

The fourth proportional to 6,806.82, 9,391.02 and 4,450.35 is: 6,139.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.82 : 9,391.02 = 4,450.35 : x
  2. Step 2: Convert to fraction form
    6,806.82/9,391.02 = 4,450.35/x
  3. Step 3: Cross multiply
    6,806.82x = 9,391.02 × 4,450.35
  4. Step 4: Simplify right side
    6,806.82x = 41,793,325.86
  5. Step 5: Solve for x
    x = 41,793,325.86/6,806.82
  6. Step 6: Final answer
    x = 6,139.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.