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Finding the Fourth Proportional to 6,105.47, 9,157.20 and 1,723.23

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Solution

The fourth proportional to 6,105.47, 9,157.20 and 1,723.23 is: 2,584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.47 : 9,157.20 = 1,723.23 : x
  2. Step 2: Convert to fraction form
    6,105.47/9,157.20 = 1,723.23/x
  3. Step 3: Cross multiply
    6,105.47x = 9,157.20 × 1,723.23
  4. Step 4: Simplify right side
    6,105.47x = 15,779,961.76
  5. Step 5: Solve for x
    x = 15,779,961.76/6,105.47
  6. Step 6: Final answer
    x = 2,584.56

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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.