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Finding the Fourth Proportional to 6,453.98, 9,676.83 and 2,940.38

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Solution

The fourth proportional to 6,453.98, 9,676.83 and 2,940.38 is: 4,408.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.98 : 9,676.83 = 2,940.38 : x
  2. Step 2: Convert to fraction form
    6,453.98/9,676.83 = 2,940.38/x
  3. Step 3: Cross multiply
    6,453.98x = 9,676.83 × 2,940.38
  4. Step 4: Simplify right side
    6,453.98x = 28,453,557.40
  5. Step 5: Solve for x
    x = 28,453,557.40/6,453.98
  6. Step 6: Final answer
    x = 4,408.68

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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.