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Finding the Fourth Proportional to 6,172.03, 9,253.93 and 3,400

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Solution

The fourth proportional to 6,172.03, 9,253.93 and 3,400 is: 5,097.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.03 : 9,253.93 = 3,400 : x
  2. Step 2: Convert to fraction form
    6,172.03/9,253.93 = 3,400/x
  3. Step 3: Cross multiply
    6,172.03x = 9,253.93 × 3,400
  4. Step 4: Simplify right side
    6,172.03x = 31,463,362
  5. Step 5: Solve for x
    x = 31,463,362/6,172.03
  6. Step 6: Final answer
    x = 5,097.73

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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.