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Finding the Fourth Proportional to 6,113.34, 9,168.72 and 1,729.62

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Solution

The fourth proportional to 6,113.34, 9,168.72 and 1,729.62 is: 2,594.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.34 : 9,168.72 = 1,729.62 : x
  2. Step 2: Convert to fraction form
    6,113.34/9,168.72 = 1,729.62/x
  3. Step 3: Cross multiply
    6,113.34x = 9,168.72 × 1,729.62
  4. Step 4: Simplify right side
    6,113.34x = 15,858,401.49
  5. Step 5: Solve for x
    x = 15,858,401.49/6,113.34
  6. Step 6: Final answer
    x = 2,594.07

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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.