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Finding the Fourth Proportional to 9,190.50, 12,683.57 and 5,157.80

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Solution

The fourth proportional to 9,190.50, 12,683.57 and 5,157.80 is: 7,118.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.50 : 12,683.57 = 5,157.80 : x
  2. Step 2: Convert to fraction form
    9,190.50/12,683.57 = 5,157.80/x
  3. Step 3: Cross multiply
    9,190.50x = 12,683.57 × 5,157.80
  4. Step 4: Simplify right side
    9,190.50x = 65,419,317.35
  5. Step 5: Solve for x
    x = 65,419,317.35/9,190.50
  6. Step 6: Final answer
    x = 7,118.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.