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Finding the Fourth Proportional to 9,915.50, 14,861.73 and 4,065.02

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Solution

The fourth proportional to 9,915.50, 14,861.73 and 4,065.02 is: 6,092.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.50 : 14,861.73 = 4,065.02 : x
  2. Step 2: Convert to fraction form
    9,915.50/14,861.73 = 4,065.02/x
  3. Step 3: Cross multiply
    9,915.50x = 14,861.73 × 4,065.02
  4. Step 4: Simplify right side
    9,915.50x = 60,413,229.68
  5. Step 5: Solve for x
    x = 60,413,229.68/9,915.50
  6. Step 6: Final answer
    x = 6,092.81

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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.