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Finding the Fourth Proportional to 9,754.08, 14,627.66 and 3,512.42

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Solution

The fourth proportional to 9,754.08, 14,627.66 and 3,512.42 is: 5,267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.08 : 14,627.66 = 3,512.42 : x
  2. Step 2: Convert to fraction form
    9,754.08/14,627.66 = 3,512.42/x
  3. Step 3: Cross multiply
    9,754.08x = 14,627.66 × 3,512.42
  4. Step 4: Simplify right side
    9,754.08x = 51,378,485.54
  5. Step 5: Solve for x
    x = 51,378,485.54/9,754.08
  6. Step 6: Final answer
    x = 5,267.38

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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.