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Finding the Fourth Proportional to 9,192, 13,791.90 and 2,952.52

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Solution

The fourth proportional to 9,192, 13,791.90 and 2,952.52 is: 4,430.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192 : 13,791.90 = 2,952.52 : x
  2. Step 2: Convert to fraction form
    9,192/13,791.90 = 2,952.52/x
  3. Step 3: Cross multiply
    9,192x = 13,791.90 × 2,952.52
  4. Step 4: Simplify right side
    9,192x = 40,720,860.59
  5. Step 5: Solve for x
    x = 40,720,860.59/9,192
  6. Step 6: Final answer
    x = 4,430.03

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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.