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Finding the Fourth Proportional to 6,105.47, 9,158.70 and 1,722.96

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Solution

The fourth proportional to 6,105.47, 9,158.70 and 1,722.96 is: 2,584.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.47 : 9,158.70 = 1,722.96 : x
  2. Step 2: Convert to fraction form
    6,105.47/9,158.70 = 1,722.96/x
  3. Step 3: Cross multiply
    6,105.47x = 9,158.70 × 1,722.96
  4. Step 4: Simplify right side
    6,105.47x = 15,780,073.75
  5. Step 5: Solve for x
    x = 15,780,073.75/6,105.47
  6. Step 6: Final answer
    x = 2,584.58

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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.