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Finding the Fourth Proportional to 9,725.22, 13,422 and 5,532.66

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Solution

The fourth proportional to 9,725.22, 13,422 and 5,532.66 is: 7,635.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.22 : 13,422 = 5,532.66 : x
  2. Step 2: Convert to fraction form
    9,725.22/13,422 = 5,532.66/x
  3. Step 3: Cross multiply
    9,725.22x = 13,422 × 5,532.66
  4. Step 4: Simplify right side
    9,725.22x = 74,259,362.52
  5. Step 5: Solve for x
    x = 74,259,362.52/9,725.22
  6. Step 6: Final answer
    x = 7,635.75

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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.