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Finding the Fourth Proportional to 6,942.20, 9,580.22 and 3,798.45

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Solution

The fourth proportional to 6,942.20, 9,580.22 and 3,798.45 is: 5,241.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.20 : 9,580.22 = 3,798.45 : x
  2. Step 2: Convert to fraction form
    6,942.20/9,580.22 = 3,798.45/x
  3. Step 3: Cross multiply
    6,942.20x = 9,580.22 × 3,798.45
  4. Step 4: Simplify right side
    6,942.20x = 36,389,967.67
  5. Step 5: Solve for x
    x = 36,389,967.67/6,942.20
  6. Step 6: Final answer
    x = 5,241.85

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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.