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Finding the Fourth Proportional to 6,194.24, 9,290.24 and 2,496.32

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Solution

The fourth proportional to 6,194.24, 9,290.24 and 2,496.32 is: 3,744.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.24 : 9,290.24 = 2,496.32 : x
  2. Step 2: Convert to fraction form
    6,194.24/9,290.24 = 2,496.32/x
  3. Step 3: Cross multiply
    6,194.24x = 9,290.24 × 2,496.32
  4. Step 4: Simplify right side
    6,194.24x = 23,191,411.92
  5. Step 5: Solve for x
    x = 23,191,411.92/6,194.24
  6. Step 6: Final answer
    x = 3,744.03

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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.