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Finding the Fourth Proportional to 9,459, 14,186.88 and 2,531.88

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Solution

The fourth proportional to 9,459, 14,186.88 and 2,531.88 is: 3,797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459 : 14,186.88 = 2,531.88 : x
  2. Step 2: Convert to fraction form
    9,459/14,186.88 = 2,531.88/x
  3. Step 3: Cross multiply
    9,459x = 14,186.88 × 2,531.88
  4. Step 4: Simplify right side
    9,459x = 35,919,477.73
  5. Step 5: Solve for x
    x = 35,919,477.73/9,459
  6. Step 6: Final answer
    x = 3,797.39

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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.