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Finding the Fourth Proportional to 9,297.24, 13,943.07 and 4,912.32

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Solution

The fourth proportional to 9,297.24, 13,943.07 and 4,912.32 is: 7,367.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.24 : 13,943.07 = 4,912.32 : x
  2. Step 2: Convert to fraction form
    9,297.24/13,943.07 = 4,912.32/x
  3. Step 3: Cross multiply
    9,297.24x = 13,943.07 × 4,912.32
  4. Step 4: Simplify right side
    9,297.24x = 68,492,821.62
  5. Step 5: Solve for x
    x = 68,492,821.62/9,297.24
  6. Step 6: Final answer
    x = 7,367.01

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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.