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Finding the Fourth Proportional to 6,413.09, 9,620.19 and 1,970.64

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Solution

The fourth proportional to 6,413.09, 9,620.19 and 1,970.64 is: 2,956.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.09 : 9,620.19 = 1,970.64 : x
  2. Step 2: Convert to fraction form
    6,413.09/9,620.19 = 1,970.64/x
  3. Step 3: Cross multiply
    6,413.09x = 9,620.19 × 1,970.64
  4. Step 4: Simplify right side
    6,413.09x = 18,957,931.22
  5. Step 5: Solve for x
    x = 18,957,931.22/6,413.09
  6. Step 6: Final answer
    x = 2,956.13

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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.