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Finding the Fourth Proportional to 6,309.27, 9,456.61 and 3,677.67

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Solution

The fourth proportional to 6,309.27, 9,456.61 and 3,677.67 is: 5,512.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.27 : 9,456.61 = 3,677.67 : x
  2. Step 2: Convert to fraction form
    6,309.27/9,456.61 = 3,677.67/x
  3. Step 3: Cross multiply
    6,309.27x = 9,456.61 × 3,677.67
  4. Step 4: Simplify right side
    6,309.27x = 34,778,290.90
  5. Step 5: Solve for x
    x = 34,778,290.90/6,309.27
  6. Step 6: Final answer
    x = 5,512.25

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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.