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Finding the Fourth Proportional to 9,695.73, 14,546.43 and 3,121.77

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Solution

The fourth proportional to 9,695.73, 14,546.43 and 3,121.77 is: 4,683.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.73 : 14,546.43 = 3,121.77 : x
  2. Step 2: Convert to fraction form
    9,695.73/14,546.43 = 3,121.77/x
  3. Step 3: Cross multiply
    9,695.73x = 14,546.43 × 3,121.77
  4. Step 4: Simplify right side
    9,695.73x = 45,410,608.78
  5. Step 5: Solve for x
    x = 45,410,608.78/9,695.73
  6. Step 6: Final answer
    x = 4,683.57

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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.