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Finding the Fourth Proportional to 6,274.83, 9,413.52 and 2,576.98

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Solution

The fourth proportional to 6,274.83, 9,413.52 and 2,576.98 is: 3,865.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.83 : 9,413.52 = 2,576.98 : x
  2. Step 2: Convert to fraction form
    6,274.83/9,413.52 = 2,576.98/x
  3. Step 3: Cross multiply
    6,274.83x = 9,413.52 × 2,576.98
  4. Step 4: Simplify right side
    6,274.83x = 24,258,454.87
  5. Step 5: Solve for x
    x = 24,258,454.87/6,274.83
  6. Step 6: Final answer
    x = 3,865.99

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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.