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Finding the Fourth Proportional to 9,718.56, 13,413.24 and 5,471.55

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Solution

The fourth proportional to 9,718.56, 13,413.24 and 5,471.55 is: 7,551.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.56 : 13,413.24 = 5,471.55 : x
  2. Step 2: Convert to fraction form
    9,718.56/13,413.24 = 5,471.55/x
  3. Step 3: Cross multiply
    9,718.56x = 13,413.24 × 5,471.55
  4. Step 4: Simplify right side
    9,718.56x = 73,391,213.32
  5. Step 5: Solve for x
    x = 73,391,213.32/9,718.56
  6. Step 6: Final answer
    x = 7,551.66

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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.