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Finding the Fourth Proportional to 9,692, 14,540.28 and 2,766.32

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Solution

The fourth proportional to 9,692, 14,540.28 and 2,766.32 is: 4,150.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692 : 14,540.28 = 2,766.32 : x
  2. Step 2: Convert to fraction form
    9,692/14,540.28 = 2,766.32/x
  3. Step 3: Cross multiply
    9,692x = 14,540.28 × 2,766.32
  4. Step 4: Simplify right side
    9,692x = 40,223,067.37
  5. Step 5: Solve for x
    x = 40,223,067.37/9,692
  6. Step 6: Final answer
    x = 4,150.13

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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.