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Finding the Fourth Proportional to 9,647, 14,464.02 and 4,450.04

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Solution

The fourth proportional to 9,647, 14,464.02 and 4,450.04 is: 6,672.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647 : 14,464.02 = 4,450.04 : x
  2. Step 2: Convert to fraction form
    9,647/14,464.02 = 4,450.04/x
  3. Step 3: Cross multiply
    9,647x = 14,464.02 × 4,450.04
  4. Step 4: Simplify right side
    9,647x = 64,365,467.56
  5. Step 5: Solve for x
    x = 64,365,467.56/9,647
  6. Step 6: Final answer
    x = 6,672.07

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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.