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Finding the Fourth Proportional to 9,638.57, 14,458.49 and 2,974.25

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Solution

The fourth proportional to 9,638.57, 14,458.49 and 2,974.25 is: 4,461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.57 : 14,458.49 = 2,974.25 : x
  2. Step 2: Convert to fraction form
    9,638.57/14,458.49 = 2,974.25/x
  3. Step 3: Cross multiply
    9,638.57x = 14,458.49 × 2,974.25
  4. Step 4: Simplify right side
    9,638.57x = 43,003,163.88
  5. Step 5: Solve for x
    x = 43,003,163.88/9,638.57
  6. Step 6: Final answer
    x = 4,461.57

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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.