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Finding the Fourth Proportional to 6,024.89, 8,993.20 and 5,314.73

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Solution

The fourth proportional to 6,024.89, 8,993.20 and 5,314.73 is: 7,933.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.89 : 8,993.20 = 5,314.73 : x
  2. Step 2: Convert to fraction form
    6,024.89/8,993.20 = 5,314.73/x
  3. Step 3: Cross multiply
    6,024.89x = 8,993.20 × 5,314.73
  4. Step 4: Simplify right side
    6,024.89x = 47,796,371.58
  5. Step 5: Solve for x
    x = 47,796,371.58/6,024.89
  6. Step 6: Final answer
    x = 7,933.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.