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Finding the Fourth Proportional to 9,413.25, 14,106.25 and 5,197.33

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Solution

The fourth proportional to 9,413.25, 14,106.25 and 5,197.33 is: 7,788.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.25 : 14,106.25 = 5,197.33 : x
  2. Step 2: Convert to fraction form
    9,413.25/14,106.25 = 5,197.33/x
  3. Step 3: Cross multiply
    9,413.25x = 14,106.25 × 5,197.33
  4. Step 4: Simplify right side
    9,413.25x = 73,314,836.31
  5. Step 5: Solve for x
    x = 73,314,836.31/9,413.25
  6. Step 6: Final answer
    x = 7,788.47

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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.