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Finding the Fourth Proportional to 6,024.04, 9,019.74 and 4,171.24

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Solution

The fourth proportional to 6,024.04, 9,019.74 and 4,171.24 is: 6,245.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.04 : 9,019.74 = 4,171.24 : x
  2. Step 2: Convert to fraction form
    6,024.04/9,019.74 = 4,171.24/x
  3. Step 3: Cross multiply
    6,024.04x = 9,019.74 × 4,171.24
  4. Step 4: Simplify right side
    6,024.04x = 37,623,500.28
  5. Step 5: Solve for x
    x = 37,623,500.28/6,024.04
  6. Step 6: Final answer
    x = 6,245.56

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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.