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Finding the Fourth Proportional to 6,172.16, 9,247.43 and 5,138.80

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Solution

The fourth proportional to 6,172.16, 9,247.43 and 5,138.80 is: 7,699.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.16 : 9,247.43 = 5,138.80 : x
  2. Step 2: Convert to fraction form
    6,172.16/9,247.43 = 5,138.80/x
  3. Step 3: Cross multiply
    6,172.16x = 9,247.43 × 5,138.80
  4. Step 4: Simplify right side
    6,172.16x = 47,520,683.01
  5. Step 5: Solve for x
    x = 47,520,683.01/6,172.16
  6. Step 6: Final answer
    x = 7,699.20

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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.