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Finding the Fourth Proportional to 9,191, 13,786.78 and 2,265.50

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Solution

The fourth proportional to 9,191, 13,786.78 and 2,265.50 is: 3,398.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191 : 13,786.78 = 2,265.50 : x
  2. Step 2: Convert to fraction form
    9,191/13,786.78 = 2,265.50/x
  3. Step 3: Cross multiply
    9,191x = 13,786.78 × 2,265.50
  4. Step 4: Simplify right side
    9,191x = 31,233,950.09
  5. Step 5: Solve for x
    x = 31,233,950.09/9,191
  6. Step 6: Final answer
    x = 3,398.32

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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.