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Finding the Fourth Proportional to 9,375.80, 14,063.69 and 3,828.16

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Solution

The fourth proportional to 9,375.80, 14,063.69 and 3,828.16 is: 5,742.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,375.80 : 14,063.69 = 3,828.16 : x
  2. Step 2: Convert to fraction form
    9,375.80/14,063.69 = 3,828.16/x
  3. Step 3: Cross multiply
    9,375.80x = 14,063.69 × 3,828.16
  4. Step 4: Simplify right side
    9,375.80x = 53,837,966.05
  5. Step 5: Solve for x
    x = 53,837,966.05/9,375.80
  6. Step 6: Final answer
    x = 5,742.23

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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.