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Finding the Fourth Proportional to 9,413.24, 14,174.87 and 6,965.28

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Solution

The fourth proportional to 9,413.24, 14,174.87 and 6,965.28 is: 10,488.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.24 : 14,174.87 = 6,965.28 : x
  2. Step 2: Convert to fraction form
    9,413.24/14,174.87 = 6,965.28/x
  3. Step 3: Cross multiply
    9,413.24x = 14,174.87 × 6,965.28
  4. Step 4: Simplify right side
    9,413.24x = 98,731,903.69
  5. Step 5: Solve for x
    x = 98,731,903.69/9,413.24
  6. Step 6: Final answer
    x = 10,488.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.