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Finding the Fourth Proportional to 9,719.06, 13,413.49 and 5,471.72

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Solution

The fourth proportional to 9,719.06, 13,413.49 and 5,471.72 is: 7,551.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.06 : 13,413.49 = 5,471.72 : x
  2. Step 2: Convert to fraction form
    9,719.06/13,413.49 = 5,471.72/x
  3. Step 3: Cross multiply
    9,719.06x = 13,413.49 × 5,471.72
  4. Step 4: Simplify right side
    9,719.06x = 73,394,780.76
  5. Step 5: Solve for x
    x = 73,394,780.76/9,719.06
  6. Step 6: Final answer
    x = 7,551.63

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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.