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Finding the Fourth Proportional to 6,274.52, 9,413.73 and 3,778.45

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Solution

The fourth proportional to 6,274.52, 9,413.73 and 3,778.45 is: 5,668.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.52 : 9,413.73 = 3,778.45 : x
  2. Step 2: Convert to fraction form
    6,274.52/9,413.73 = 3,778.45/x
  3. Step 3: Cross multiply
    6,274.52x = 9,413.73 × 3,778.45
  4. Step 4: Simplify right side
    6,274.52x = 35,569,289.23
  5. Step 5: Solve for x
    x = 35,569,289.23/6,274.52
  6. Step 6: Final answer
    x = 5,668.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.