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Finding the Fourth Proportional to 9,422, 14,136.24 and 3,266

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Solution

The fourth proportional to 9,422, 14,136.24 and 3,266 is: 4,900.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422 : 14,136.24 = 3,266 : x
  2. Step 2: Convert to fraction form
    9,422/14,136.24 = 3,266/x
  3. Step 3: Cross multiply
    9,422x = 14,136.24 × 3,266
  4. Step 4: Simplify right side
    9,422x = 46,168,959.84
  5. Step 5: Solve for x
    x = 46,168,959.84/9,422
  6. Step 6: Final answer
    x = 4,900.12

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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.