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Finding the Fourth Proportional to 9,375.80, 14,063.70 and 3,827.30

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Solution

The fourth proportional to 9,375.80, 14,063.70 and 3,827.30 is: 5,740.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,375.80 : 14,063.70 = 3,827.30 : x
  2. Step 2: Convert to fraction form
    9,375.80/14,063.70 = 3,827.30/x
  3. Step 3: Cross multiply
    9,375.80x = 14,063.70 × 3,827.30
  4. Step 4: Simplify right side
    9,375.80x = 53,825,999.01
  5. Step 5: Solve for x
    x = 53,825,999.01/9,375.80
  6. Step 6: Final answer
    x = 5,740.95

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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.