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Finding the Fourth Proportional to 6,024.57, 9,034.61 and 2,074.73

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Solution

The fourth proportional to 6,024.57, 9,034.61 and 2,074.73 is: 3,111.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.57 : 9,034.61 = 2,074.73 : x
  2. Step 2: Convert to fraction form
    6,024.57/9,034.61 = 2,074.73/x
  3. Step 3: Cross multiply
    6,024.57x = 9,034.61 × 2,074.73
  4. Step 4: Simplify right side
    6,024.57x = 18,744,376.41
  5. Step 5: Solve for x
    x = 18,744,376.41/6,024.57
  6. Step 6: Final answer
    x = 3,111.32

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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.