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Finding the Fourth Proportional to 9,953.24, 13,734.42 and 5,974.52

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Solution

The fourth proportional to 9,953.24, 13,734.42 and 5,974.52 is: 8,244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.24 : 13,734.42 = 5,974.52 : x
  2. Step 2: Convert to fraction form
    9,953.24/13,734.42 = 5,974.52/x
  3. Step 3: Cross multiply
    9,953.24x = 13,734.42 × 5,974.52
  4. Step 4: Simplify right side
    9,953.24x = 82,056,566.98
  5. Step 5: Solve for x
    x = 82,056,566.98/9,953.24
  6. Step 6: Final answer
    x = 8,244.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.