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Finding the Fourth Proportional to 6,413.44, 9,620.16 and 2,953.12

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Solution

The fourth proportional to 6,413.44, 9,620.16 and 2,953.12 is: 4,429.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.44 : 9,620.16 = 2,953.12 : x
  2. Step 2: Convert to fraction form
    6,413.44/9,620.16 = 2,953.12/x
  3. Step 3: Cross multiply
    6,413.44x = 9,620.16 × 2,953.12
  4. Step 4: Simplify right side
    6,413.44x = 28,409,486.90
  5. Step 5: Solve for x
    x = 28,409,486.90/6,413.44
  6. Step 6: Final answer
    x = 4,429.68

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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.