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Finding the Fourth Proportional to 6,920.42, 9,550.23 and 3,776.54

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Solution

The fourth proportional to 6,920.42, 9,550.23 and 3,776.54 is: 5,211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.42 : 9,550.23 = 3,776.54 : x
  2. Step 2: Convert to fraction form
    6,920.42/9,550.23 = 3,776.54/x
  3. Step 3: Cross multiply
    6,920.42x = 9,550.23 × 3,776.54
  4. Step 4: Simplify right side
    6,920.42x = 36,066,825.60
  5. Step 5: Solve for x
    x = 36,066,825.60/6,920.42
  6. Step 6: Final answer
    x = 5,211.65

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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.