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Finding the Fourth Proportional to 6,114.62, 9,172.95 and 2,224.46

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Solution

The fourth proportional to 6,114.62, 9,172.95 and 2,224.46 is: 3,337.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.62 : 9,172.95 = 2,224.46 : x
  2. Step 2: Convert to fraction form
    6,114.62/9,172.95 = 2,224.46/x
  3. Step 3: Cross multiply
    6,114.62x = 9,172.95 × 2,224.46
  4. Step 4: Simplify right side
    6,114.62x = 20,404,860.36
  5. Step 5: Solve for x
    x = 20,404,860.36/6,114.62
  6. Step 6: Final answer
    x = 3,337.06

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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.