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Finding the Fourth Proportional to 9,882, 14,825.16 and 3,726

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Solution

The fourth proportional to 9,882, 14,825.16 and 3,726 is: 5,589.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882 : 14,825.16 = 3,726 : x
  2. Step 2: Convert to fraction form
    9,882/14,825.16 = 3,726/x
  3. Step 3: Cross multiply
    9,882x = 14,825.16 × 3,726
  4. Step 4: Simplify right side
    9,882x = 55,238,546.16
  5. Step 5: Solve for x
    x = 55,238,546.16/9,882
  6. Step 6: Final answer
    x = 5,589.81

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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.