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Finding the Fourth Proportional to 8,941.70, 13,413.90 and 3,097.56

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Solution

The fourth proportional to 8,941.70, 13,413.90 and 3,097.56 is: 4,646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,941.70 : 13,413.90 = 3,097.56 : x
  2. Step 2: Convert to fraction form
    8,941.70/13,413.90 = 3,097.56/x
  3. Step 3: Cross multiply
    8,941.70x = 13,413.90 × 3,097.56
  4. Step 4: Simplify right side
    8,941.70x = 41,550,360.08
  5. Step 5: Solve for x
    x = 41,550,360.08/8,941.70
  6. Step 6: Final answer
    x = 4,646.81

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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.