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Finding the Fourth Proportional to 9,661.41, 14,493.20 and 3,086.10

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Solution

The fourth proportional to 9,661.41, 14,493.20 and 3,086.10 is: 4,629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.41 : 14,493.20 = 3,086.10 : x
  2. Step 2: Convert to fraction form
    9,661.41/14,493.20 = 3,086.10/x
  3. Step 3: Cross multiply
    9,661.41x = 14,493.20 × 3,086.10
  4. Step 4: Simplify right side
    9,661.41x = 44,727,449.09
  5. Step 5: Solve for x
    x = 44,727,449.09/9,661.41
  6. Step 6: Final answer
    x = 4,629.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.