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Finding the Fourth Proportional to 9,190.85, 12,683.49 and 5,211.87

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Solution

The fourth proportional to 9,190.85, 12,683.49 and 5,211.87 is: 7,192.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.85 : 12,683.49 = 5,211.87 : x
  2. Step 2: Convert to fraction form
    9,190.85/12,683.49 = 5,211.87/x
  3. Step 3: Cross multiply
    9,190.85x = 12,683.49 × 5,211.87
  4. Step 4: Simplify right side
    9,190.85x = 66,104,701.03
  5. Step 5: Solve for x
    x = 66,104,701.03/9,190.85
  6. Step 6: Final answer
    x = 7,192.45

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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.