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Finding the Fourth Proportional to 9,894.80, 14,843.72 and 3,971.67

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Solution

The fourth proportional to 9,894.80, 14,843.72 and 3,971.67 is: 5,958.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.80 : 14,843.72 = 3,971.67 : x
  2. Step 2: Convert to fraction form
    9,894.80/14,843.72 = 3,971.67/x
  3. Step 3: Cross multiply
    9,894.80x = 14,843.72 × 3,971.67
  4. Step 4: Simplify right side
    9,894.80x = 58,954,357.41
  5. Step 5: Solve for x
    x = 58,954,357.41/9,894.80
  6. Step 6: Final answer
    x = 5,958.12

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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.