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Finding the Fourth Proportional to 6,024.78, 9,038.79 and 5,446.44

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Solution

The fourth proportional to 6,024.78, 9,038.79 and 5,446.44 is: 8,171.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.78 : 9,038.79 = 5,446.44 : x
  2. Step 2: Convert to fraction form
    6,024.78/9,038.79 = 5,446.44/x
  3. Step 3: Cross multiply
    6,024.78x = 9,038.79 × 5,446.44
  4. Step 4: Simplify right side
    6,024.78x = 49,229,227.41
  5. Step 5: Solve for x
    x = 49,229,227.41/6,024.78
  6. Step 6: Final answer
    x = 8,171.12

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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.