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Finding the Fourth Proportional to 6,172.29, 9,224.46 and 4,509.87

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Solution

The fourth proportional to 6,172.29, 9,224.46 and 4,509.87 is: 6,739.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.29 : 9,224.46 = 4,509.87 : x
  2. Step 2: Convert to fraction form
    6,172.29/9,224.46 = 4,509.87/x
  3. Step 3: Cross multiply
    6,172.29x = 9,224.46 × 4,509.87
  4. Step 4: Simplify right side
    6,172.29x = 41,601,115.42
  5. Step 5: Solve for x
    x = 41,601,115.42/6,172.29
  6. Step 6: Final answer
    x = 6,739.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.