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Finding the Fourth Proportional to 9,413.88, 12,991.77 and 5,435.16

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Solution

The fourth proportional to 9,413.88, 12,991.77 and 5,435.16 is: 7,500.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.88 : 12,991.77 = 5,435.16 : x
  2. Step 2: Convert to fraction form
    9,413.88/12,991.77 = 5,435.16/x
  3. Step 3: Cross multiply
    9,413.88x = 12,991.77 × 5,435.16
  4. Step 4: Simplify right side
    9,413.88x = 70,612,348.63
  5. Step 5: Solve for x
    x = 70,612,348.63/9,413.88
  6. Step 6: Final answer
    x = 7,500.88

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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.