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Finding the Fourth Proportional to 6,093.47, 8,413.06 and 5,674.90

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Solution

The fourth proportional to 6,093.47, 8,413.06 and 5,674.90 is: 7,835.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.47 : 8,413.06 = 5,674.90 : x
  2. Step 2: Convert to fraction form
    6,093.47/8,413.06 = 5,674.90/x
  3. Step 3: Cross multiply
    6,093.47x = 8,413.06 × 5,674.90
  4. Step 4: Simplify right side
    6,093.47x = 47,743,274.19
  5. Step 5: Solve for x
    x = 47,743,274.19/6,093.47
  6. Step 6: Final answer
    x = 7,835.15

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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.