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Finding the Fourth Proportional to 9,273.50, 13,915.72 and 3,434.21

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Solution

The fourth proportional to 9,273.50, 13,915.72 and 3,434.21 is: 5,153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,273.50 : 13,915.72 = 3,434.21 : x
  2. Step 2: Convert to fraction form
    9,273.50/13,915.72 = 3,434.21/x
  3. Step 3: Cross multiply
    9,273.50x = 13,915.72 × 3,434.21
  4. Step 4: Simplify right side
    9,273.50x = 47,789,504.78
  5. Step 5: Solve for x
    x = 47,789,504.78/9,273.50
  6. Step 6: Final answer
    x = 5,153.34

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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.