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Finding the Fourth Proportional to 9,612.75, 13,266 and 5,421

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Solution

The fourth proportional to 9,612.75, 13,266 and 5,421 is: 7,481.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.75 : 13,266 = 5,421 : x
  2. Step 2: Convert to fraction form
    9,612.75/13,266 = 5,421/x
  3. Step 3: Cross multiply
    9,612.75x = 13,266 × 5,421
  4. Step 4: Simplify right side
    9,612.75x = 71,914,986
  5. Step 5: Solve for x
    x = 71,914,986/9,612.75
  6. Step 6: Final answer
    x = 7,481.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.