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Finding the Fourth Proportional to 9,413.63, 12,991.19 and 5,164.84

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Solution

The fourth proportional to 9,413.63, 12,991.19 and 5,164.84 is: 7,127.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.63 : 12,991.19 = 5,164.84 : x
  2. Step 2: Convert to fraction form
    9,413.63/12,991.19 = 5,164.84/x
  3. Step 3: Cross multiply
    9,413.63x = 12,991.19 × 5,164.84
  4. Step 4: Simplify right side
    9,413.63x = 67,097,408.17
  5. Step 5: Solve for x
    x = 67,097,408.17/9,413.63
  6. Step 6: Final answer
    x = 7,127.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.