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Finding the Fourth Proportional to 9,223.34, 13,832.27 and 3,378.56

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Solution

The fourth proportional to 9,223.34, 13,832.27 and 3,378.56 is: 5,066.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.34 : 13,832.27 = 3,378.56 : x
  2. Step 2: Convert to fraction form
    9,223.34/13,832.27 = 3,378.56/x
  3. Step 3: Cross multiply
    9,223.34x = 13,832.27 × 3,378.56
  4. Step 4: Simplify right side
    9,223.34x = 46,733,137.24
  5. Step 5: Solve for x
    x = 46,733,137.24/9,223.34
  6. Step 6: Final answer
    x = 5,066.83

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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.