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Finding the Fourth Proportional to 9,182, 13,770.94 and 2,608.04

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Solution

The fourth proportional to 9,182, 13,770.94 and 2,608.04 is: 3,911.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182 : 13,770.94 = 2,608.04 : x
  2. Step 2: Convert to fraction form
    9,182/13,770.94 = 2,608.04/x
  3. Step 3: Cross multiply
    9,182x = 13,770.94 × 2,608.04
  4. Step 4: Simplify right side
    9,182x = 35,915,162.36
  5. Step 5: Solve for x
    x = 35,915,162.36/9,182
  6. Step 6: Final answer
    x = 3,911.47

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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.