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Finding the Fourth Proportional to 9,851.67, 13,593.69 and 5,601.60

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Solution

The fourth proportional to 9,851.67, 13,593.69 and 5,601.60 is: 7,729.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.67 : 13,593.69 = 5,601.60 : x
  2. Step 2: Convert to fraction form
    9,851.67/13,593.69 = 5,601.60/x
  3. Step 3: Cross multiply
    9,851.67x = 13,593.69 × 5,601.60
  4. Step 4: Simplify right side
    9,851.67x = 76,146,413.90
  5. Step 5: Solve for x
    x = 76,146,413.90/9,851.67
  6. Step 6: Final answer
    x = 7,729.29

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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.