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Finding the Fourth Proportional to 9,889.52, 13,647.47 and 5,413.23

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Solution

The fourth proportional to 9,889.52, 13,647.47 and 5,413.23 is: 7,470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.52 : 13,647.47 = 5,413.23 : x
  2. Step 2: Convert to fraction form
    9,889.52/13,647.47 = 5,413.23/x
  3. Step 3: Cross multiply
    9,889.52x = 13,647.47 × 5,413.23
  4. Step 4: Simplify right side
    9,889.52x = 73,876,866.96
  5. Step 5: Solve for x
    x = 73,876,866.96/9,889.52
  6. Step 6: Final answer
    x = 7,470.22

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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.