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Finding the Fourth Proportional to 9,720.82, 13,413.45 and 5,472.10

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Solution

The fourth proportional to 9,720.82, 13,413.45 and 5,472.10 is: 7,550.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.82 : 13,413.45 = 5,472.10 : x
  2. Step 2: Convert to fraction form
    9,720.82/13,413.45 = 5,472.10/x
  3. Step 3: Cross multiply
    9,720.82x = 13,413.45 × 5,472.10
  4. Step 4: Simplify right side
    9,720.82x = 73,399,739.75
  5. Step 5: Solve for x
    x = 73,399,739.75/9,720.82
  6. Step 6: Final answer
    x = 7,550.78

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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.