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Finding the Fourth Proportional to 6,413.28, 8,847.02 and 3,758.91

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Solution

The fourth proportional to 6,413.28, 8,847.02 and 3,758.91 is: 5,185.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.28 : 8,847.02 = 3,758.91 : x
  2. Step 2: Convert to fraction form
    6,413.28/8,847.02 = 3,758.91/x
  3. Step 3: Cross multiply
    6,413.28x = 8,847.02 × 3,758.91
  4. Step 4: Simplify right side
    6,413.28x = 33,255,128.17
  5. Step 5: Solve for x
    x = 33,255,128.17/6,413.28
  6. Step 6: Final answer
    x = 5,185.36

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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.