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Finding the Fourth Proportional to 6,841.24, 9,441.02 and 3,857.22

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Solution

The fourth proportional to 6,841.24, 9,441.02 and 3,857.22 is: 5,323.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.24 : 9,441.02 = 3,857.22 : x
  2. Step 2: Convert to fraction form
    6,841.24/9,441.02 = 3,857.22/x
  3. Step 3: Cross multiply
    6,841.24x = 9,441.02 × 3,857.22
  4. Step 4: Simplify right side
    6,841.24x = 36,416,071.88
  5. Step 5: Solve for x
    x = 36,416,071.88/6,841.24
  6. Step 6: Final answer
    x = 5,323.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.