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Finding the Fourth Proportional to 9,767.32, 14,653.22 and 3,194

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Solution

The fourth proportional to 9,767.32, 14,653.22 and 3,194 is: 4,791.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.32 : 14,653.22 = 3,194 : x
  2. Step 2: Convert to fraction form
    9,767.32/14,653.22 = 3,194/x
  3. Step 3: Cross multiply
    9,767.32x = 14,653.22 × 3,194
  4. Step 4: Simplify right side
    9,767.32x = 46,802,384.68
  5. Step 5: Solve for x
    x = 46,802,384.68/9,767.32
  6. Step 6: Final answer
    x = 4,791.73

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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.