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Finding the Fourth Proportional to 9,889.34, 13,647.30 and 5,413.28

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Solution

The fourth proportional to 9,889.34, 13,647.30 and 5,413.28 is: 7,470.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.34 : 13,647.30 = 5,413.28 : x
  2. Step 2: Convert to fraction form
    9,889.34/13,647.30 = 5,413.28/x
  3. Step 3: Cross multiply
    9,889.34x = 13,647.30 × 5,413.28
  4. Step 4: Simplify right side
    9,889.34x = 73,876,656.14
  5. Step 5: Solve for x
    x = 73,876,656.14/9,889.34
  6. Step 6: Final answer
    x = 7,470.33

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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.