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Finding the Fourth Proportional to 6,413.18, 9,602.39 and 3,328.70

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Solution

The fourth proportional to 6,413.18, 9,602.39 and 3,328.70 is: 4,984.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.18 : 9,602.39 = 3,328.70 : x
  2. Step 2: Convert to fraction form
    6,413.18/9,602.39 = 3,328.70/x
  3. Step 3: Cross multiply
    6,413.18x = 9,602.39 × 3,328.70
  4. Step 4: Simplify right side
    6,413.18x = 31,963,410.94
  5. Step 5: Solve for x
    x = 31,963,410.94/6,413.18
  6. Step 6: Final answer
    x = 4,984.02

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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.