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Finding the Fourth Proportional to 6,413.48, 9,612.88 and 2,906.16

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Solution

The fourth proportional to 6,413.48, 9,612.88 and 2,906.16 is: 4,355.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.48 : 9,612.88 = 2,906.16 : x
  2. Step 2: Convert to fraction form
    6,413.48/9,612.88 = 2,906.16/x
  3. Step 3: Cross multiply
    6,413.48x = 9,612.88 × 2,906.16
  4. Step 4: Simplify right side
    6,413.48x = 27,936,567.34
  5. Step 5: Solve for x
    x = 27,936,567.34/6,413.48
  6. Step 6: Final answer
    x = 4,355.91

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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.