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Finding the Fourth Proportional to 9,611.44, 14,413.66 and 4,065.22

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Solution

The fourth proportional to 9,611.44, 14,413.66 and 4,065.22 is: 6,096.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.44 : 14,413.66 = 4,065.22 : x
  2. Step 2: Convert to fraction form
    9,611.44/14,413.66 = 4,065.22/x
  3. Step 3: Cross multiply
    9,611.44x = 14,413.66 × 4,065.22
  4. Step 4: Simplify right side
    9,611.44x = 58,594,698.91
  5. Step 5: Solve for x
    x = 58,594,698.91/9,611.44
  6. Step 6: Final answer
    x = 6,096.35

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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.