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Finding the Fourth Proportional to 9,882, 14,823 and 2,958.12

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Solution

The fourth proportional to 9,882, 14,823 and 2,958.12 is: 4,437.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882 : 14,823 = 2,958.12 : x
  2. Step 2: Convert to fraction form
    9,882/14,823 = 2,958.12/x
  3. Step 3: Cross multiply
    9,882x = 14,823 × 2,958.12
  4. Step 4: Simplify right side
    9,882x = 43,848,212.76
  5. Step 5: Solve for x
    x = 43,848,212.76/9,882
  6. Step 6: Final answer
    x = 4,437.18

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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.