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Finding the Fourth Proportional to 6,105.17, 9,158.37 and 1,722.67

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Solution

The fourth proportional to 6,105.17, 9,158.37 and 1,722.67 is: 2,584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.17 : 9,158.37 = 1,722.67 : x
  2. Step 2: Convert to fraction form
    6,105.17/9,158.37 = 1,722.67/x
  3. Step 3: Cross multiply
    6,105.17x = 9,158.37 × 1,722.67
  4. Step 4: Simplify right side
    6,105.17x = 15,776,819.89
  5. Step 5: Solve for x
    x = 15,776,819.89/6,105.17
  6. Step 6: Final answer
    x = 2,584.17

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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.