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Finding the Fourth Proportional to 6,274.83, 9,413.46 and 3,155.52

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Solution

The fourth proportional to 6,274.83, 9,413.46 and 3,155.52 is: 4,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.83 : 9,413.46 = 3,155.52 : x
  2. Step 2: Convert to fraction form
    6,274.83/9,413.46 = 3,155.52/x
  3. Step 3: Cross multiply
    6,274.83x = 9,413.46 × 3,155.52
  4. Step 4: Simplify right side
    6,274.83x = 29,704,361.30
  5. Step 5: Solve for x
    x = 29,704,361.30/6,274.83
  6. Step 6: Final answer
    x = 4,733.89

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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.