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Finding the Fourth Proportional to 9,406.44, 14,106.78 and 3,249

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Solution

The fourth proportional to 9,406.44, 14,106.78 and 3,249 is: 4,872.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.44 : 14,106.78 = 3,249 : x
  2. Step 2: Convert to fraction form
    9,406.44/14,106.78 = 3,249/x
  3. Step 3: Cross multiply
    9,406.44x = 14,106.78 × 3,249
  4. Step 4: Simplify right side
    9,406.44x = 45,832,928.22
  5. Step 5: Solve for x
    x = 45,832,928.22/9,406.44
  6. Step 6: Final answer
    x = 4,872.51

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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.