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Finding the Fourth Proportional to 6,413.92, 8,852.68 and 3,762.18

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Solution

The fourth proportional to 6,413.92, 8,852.68 and 3,762.18 is: 5,192.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.92 : 8,852.68 = 3,762.18 : x
  2. Step 2: Convert to fraction form
    6,413.92/8,852.68 = 3,762.18/x
  3. Step 3: Cross multiply
    6,413.92x = 8,852.68 × 3,762.18
  4. Step 4: Simplify right side
    6,413.92x = 33,305,366.24
  5. Step 5: Solve for x
    x = 33,305,366.24/6,413.92
  6. Step 6: Final answer
    x = 5,192.67

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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.