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Finding the Fourth Proportional to 6,413.60, 8,851.52 and 3,896.12

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Solution

The fourth proportional to 6,413.60, 8,851.52 and 3,896.12 is: 5,377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.60 : 8,851.52 = 3,896.12 : x
  2. Step 2: Convert to fraction form
    6,413.60/8,851.52 = 3,896.12/x
  3. Step 3: Cross multiply
    6,413.60x = 8,851.52 × 3,896.12
  4. Step 4: Simplify right side
    6,413.60x = 34,486,549.59
  5. Step 5: Solve for x
    x = 34,486,549.59/6,413.60
  6. Step 6: Final answer
    x = 5,377.10

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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.