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Finding the Fourth Proportional to 6,804.16, 9,388.98 and 3,819.58

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Solution

The fourth proportional to 6,804.16, 9,388.98 and 3,819.58 is: 5,270.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.16 : 9,388.98 = 3,819.58 : x
  2. Step 2: Convert to fraction form
    6,804.16/9,388.98 = 3,819.58/x
  3. Step 3: Cross multiply
    6,804.16x = 9,388.98 × 3,819.58
  4. Step 4: Simplify right side
    6,804.16x = 35,861,960.23
  5. Step 5: Solve for x
    x = 35,861,960.23/6,804.16
  6. Step 6: Final answer
    x = 5,270.59

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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.