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Finding the Fourth Proportional to 9,262.69, 13,894.03 and 3,106.69

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Solution

The fourth proportional to 9,262.69, 13,894.03 and 3,106.69 is: 4,660.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.69 : 13,894.03 = 3,106.69 : x
  2. Step 2: Convert to fraction form
    9,262.69/13,894.03 = 3,106.69/x
  3. Step 3: Cross multiply
    9,262.69x = 13,894.03 × 3,106.69
  4. Step 4: Simplify right side
    9,262.69x = 43,164,413.21
  5. Step 5: Solve for x
    x = 43,164,413.21/9,262.69
  6. Step 6: Final answer
    x = 4,660.03

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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.