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Finding the Fourth Proportional to 6,232.98, 9,351.09 and 2,946

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Solution

The fourth proportional to 6,232.98, 9,351.09 and 2,946 is: 4,419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.98 : 9,351.09 = 2,946 : x
  2. Step 2: Convert to fraction form
    6,232.98/9,351.09 = 2,946/x
  3. Step 3: Cross multiply
    6,232.98x = 9,351.09 × 2,946
  4. Step 4: Simplify right side
    6,232.98x = 27,548,311.14
  5. Step 5: Solve for x
    x = 27,548,311.14/6,232.98
  6. Step 6: Final answer
    x = 4,419.77

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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.