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Finding the Fourth Proportional to 9,716.54, 13,413.93 and 6,886.22

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Solution

The fourth proportional to 9,716.54, 13,413.93 and 6,886.22 is: 9,506.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.54 : 13,413.93 = 6,886.22 : x
  2. Step 2: Convert to fraction form
    9,716.54/13,413.93 = 6,886.22/x
  3. Step 3: Cross multiply
    9,716.54x = 13,413.93 × 6,886.22
  4. Step 4: Simplify right side
    9,716.54x = 92,371,273.04
  5. Step 5: Solve for x
    x = 92,371,273.04/9,716.54
  6. Step 6: Final answer
    x = 9,506.60

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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.