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Finding the Fourth Proportional to 6,805.20, 9,390.42 and 3,820.62

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Solution

The fourth proportional to 6,805.20, 9,390.42 and 3,820.62 is: 5,272.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.20 : 9,390.42 = 3,820.62 : x
  2. Step 2: Convert to fraction form
    6,805.20/9,390.42 = 3,820.62/x
  3. Step 3: Cross multiply
    6,805.20x = 9,390.42 × 3,820.62
  4. Step 4: Simplify right side
    6,805.20x = 35,877,226.46
  5. Step 5: Solve for x
    x = 35,877,226.46/6,805.20
  6. Step 6: Final answer
    x = 5,272.03

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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.