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Finding the Fourth Proportional to 9,223.49, 13,827.02 and 3,378.73

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Solution

The fourth proportional to 9,223.49, 13,827.02 and 3,378.73 is: 5,065.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.49 : 13,827.02 = 3,378.73 : x
  2. Step 2: Convert to fraction form
    9,223.49/13,827.02 = 3,378.73/x
  3. Step 3: Cross multiply
    9,223.49x = 13,827.02 × 3,378.73
  4. Step 4: Simplify right side
    9,223.49x = 46,717,767.28
  5. Step 5: Solve for x
    x = 46,717,767.28/9,223.49
  6. Step 6: Final answer
    x = 5,065.09

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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.