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Finding the Fourth Proportional to 9,922.38, 14,872.23 and 4,071.75

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Solution

The fourth proportional to 9,922.38, 14,872.23 and 4,071.75 is: 6,102.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.38 : 14,872.23 = 4,071.75 : x
  2. Step 2: Convert to fraction form
    9,922.38/14,872.23 = 4,071.75/x
  3. Step 3: Cross multiply
    9,922.38x = 14,872.23 × 4,071.75
  4. Step 4: Simplify right side
    9,922.38x = 60,556,002.50
  5. Step 5: Solve for x
    x = 60,556,002.50/9,922.38
  6. Step 6: Final answer
    x = 6,102.97

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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.