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Finding the Fourth Proportional to 9,660.25, 14,496.86 and 3,504.25

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Solution

The fourth proportional to 9,660.25, 14,496.86 and 3,504.25 is: 5,258.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.25 : 14,496.86 = 3,504.25 : x
  2. Step 2: Convert to fraction form
    9,660.25/14,496.86 = 3,504.25/x
  3. Step 3: Cross multiply
    9,660.25x = 14,496.86 × 3,504.25
  4. Step 4: Simplify right side
    9,660.25x = 50,800,621.66
  5. Step 5: Solve for x
    x = 50,800,621.66/9,660.25
  6. Step 6: Final answer
    x = 5,258.73

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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.