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Finding the Fourth Proportional to 9,098.24, 13,632.75 and 7,640.24

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Solution

The fourth proportional to 9,098.24, 13,632.75 and 7,640.24 is: 11,448.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.24 : 13,632.75 = 7,640.24 : x
  2. Step 2: Convert to fraction form
    9,098.24/13,632.75 = 7,640.24/x
  3. Step 3: Cross multiply
    9,098.24x = 13,632.75 × 7,640.24
  4. Step 4: Simplify right side
    9,098.24x = 104,157,413.70
  5. Step 5: Solve for x
    x = 104,157,413.70/9,098.24
  6. Step 6: Final answer
    x = 11,448.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.