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Finding the Fourth Proportional to 9,223.98, 13,842.61 and 3,674.11

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Solution

The fourth proportional to 9,223.98, 13,842.61 and 3,674.11 is: 5,513.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.98 : 13,842.61 = 3,674.11 : x
  2. Step 2: Convert to fraction form
    9,223.98/13,842.61 = 3,674.11/x
  3. Step 3: Cross multiply
    9,223.98x = 13,842.61 × 3,674.11
  4. Step 4: Simplify right side
    9,223.98x = 50,859,237.22
  5. Step 5: Solve for x
    x = 50,859,237.22/9,223.98
  6. Step 6: Final answer
    x = 5,513.81

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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.