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Finding the Fourth Proportional to 6,255.77, 9,413.69 and 5,153.13

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Solution

The fourth proportional to 6,255.77, 9,413.69 and 5,153.13 is: 7,754.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,255.77 : 9,413.69 = 5,153.13 : x
  2. Step 2: Convert to fraction form
    6,255.77/9,413.69 = 5,153.13/x
  3. Step 3: Cross multiply
    6,255.77x = 9,413.69 × 5,153.13
  4. Step 4: Simplify right side
    6,255.77x = 48,509,942.58
  5. Step 5: Solve for x
    x = 48,509,942.58/6,255.77
  6. Step 6: Final answer
    x = 7,754.44

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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.