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Finding the Fourth Proportional to 9,235.26, 13,852.96 and 3,690

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Solution

The fourth proportional to 9,235.26, 13,852.96 and 3,690 is: 5,535.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.26 : 13,852.96 = 3,690 : x
  2. Step 2: Convert to fraction form
    9,235.26/13,852.96 = 3,690/x
  3. Step 3: Cross multiply
    9,235.26x = 13,852.96 × 3,690
  4. Step 4: Simplify right side
    9,235.26x = 51,117,413.18
  5. Step 5: Solve for x
    x = 51,117,413.18/9,235.26
  6. Step 6: Final answer
    x = 5,535.03

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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.