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Finding the Fourth Proportional to 6,107.76, 9,161.10 and 3,335.67

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Solution

The fourth proportional to 6,107.76, 9,161.10 and 3,335.67 is: 5,003.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.76 : 9,161.10 = 3,335.67 : x
  2. Step 2: Convert to fraction form
    6,107.76/9,161.10 = 3,335.67/x
  3. Step 3: Cross multiply
    6,107.76x = 9,161.10 × 3,335.67
  4. Step 4: Simplify right side
    6,107.76x = 30,558,406.44
  5. Step 5: Solve for x
    x = 30,558,406.44/6,107.76
  6. Step 6: Final answer
    x = 5,003.21

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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.