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Finding the Fourth Proportional to 9,162, 13,744.08 and 3,006

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Solution

The fourth proportional to 9,162, 13,744.08 and 3,006 is: 4,509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162 : 13,744.08 = 3,006 : x
  2. Step 2: Convert to fraction form
    9,162/13,744.08 = 3,006/x
  3. Step 3: Cross multiply
    9,162x = 13,744.08 × 3,006
  4. Step 4: Simplify right side
    9,162x = 41,314,704.48
  5. Step 5: Solve for x
    x = 41,314,704.48/9,162
  6. Step 6: Final answer
    x = 4,509.35

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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.