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Finding the Fourth Proportional to 9,411, 14,110.20 and 3,862.80

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Solution

The fourth proportional to 9,411, 14,110.20 and 3,862.80 is: 5,791.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411 : 14,110.20 = 3,862.80 : x
  2. Step 2: Convert to fraction form
    9,411/14,110.20 = 3,862.80/x
  3. Step 3: Cross multiply
    9,411x = 14,110.20 × 3,862.80
  4. Step 4: Simplify right side
    9,411x = 54,504,880.56
  5. Step 5: Solve for x
    x = 54,504,880.56/9,411
  6. Step 6: Final answer
    x = 5,791.61

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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.