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Finding the Fourth Proportional to 9,190.85, 13,806.78 and 5,683.45

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Solution

The fourth proportional to 9,190.85, 13,806.78 and 5,683.45 is: 8,537.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.85 : 13,806.78 = 5,683.45 : x
  2. Step 2: Convert to fraction form
    9,190.85/13,806.78 = 5,683.45/x
  3. Step 3: Cross multiply
    9,190.85x = 13,806.78 × 5,683.45
  4. Step 4: Simplify right side
    9,190.85x = 78,470,143.79
  5. Step 5: Solve for x
    x = 78,470,143.79/9,190.85
  6. Step 6: Final answer
    x = 8,537.85

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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.