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Finding the Fourth Proportional to 6,229.76, 9,347.60 and 3,889.13

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Solution

The fourth proportional to 6,229.76, 9,347.60 and 3,889.13 is: 5,835.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.76 : 9,347.60 = 3,889.13 : x
  2. Step 2: Convert to fraction form
    6,229.76/9,347.60 = 3,889.13/x
  3. Step 3: Cross multiply
    6,229.76x = 9,347.60 × 3,889.13
  4. Step 4: Simplify right side
    6,229.76x = 36,353,994.57
  5. Step 5: Solve for x
    x = 36,353,994.57/6,229.76
  6. Step 6: Final answer
    x = 5,835.54

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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.