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Finding the Fourth Proportional to 9,156.96, 13,735.62 and 3,609

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Solution

The fourth proportional to 9,156.96, 13,735.62 and 3,609 is: 5,413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.96 : 13,735.62 = 3,609 : x
  2. Step 2: Convert to fraction form
    9,156.96/13,735.62 = 3,609/x
  3. Step 3: Cross multiply
    9,156.96x = 13,735.62 × 3,609
  4. Step 4: Simplify right side
    9,156.96x = 49,571,852.58
  5. Step 5: Solve for x
    x = 49,571,852.58/9,156.96
  6. Step 6: Final answer
    x = 5,413.57

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Why These Related Problems?

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