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Finding the Fourth Proportional to 6,425.45, 9,638.36 and 1,745.43

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Solution

The fourth proportional to 6,425.45, 9,638.36 and 1,745.43 is: 2,618.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.45 : 9,638.36 = 1,745.43 : x
  2. Step 2: Convert to fraction form
    6,425.45/9,638.36 = 1,745.43/x
  3. Step 3: Cross multiply
    6,425.45x = 9,638.36 × 1,745.43
  4. Step 4: Simplify right side
    6,425.45x = 16,823,082.69
  5. Step 5: Solve for x
    x = 16,823,082.69/6,425.45
  6. Step 6: Final answer
    x = 2,618.20

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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.