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Finding the Fourth Proportional to 6,289.89, 9,433.77 and 1,906.29

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Solution

The fourth proportional to 6,289.89, 9,433.77 and 1,906.29 is: 2,859.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.89 : 9,433.77 = 1,906.29 : x
  2. Step 2: Convert to fraction form
    6,289.89/9,433.77 = 1,906.29/x
  3. Step 3: Cross multiply
    6,289.89x = 9,433.77 × 1,906.29
  4. Step 4: Simplify right side
    6,289.89x = 17,983,501.41
  5. Step 5: Solve for x
    x = 17,983,501.41/6,289.89
  6. Step 6: Final answer
    x = 2,859.11

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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.