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Finding the Fourth Proportional to 9,223.98, 13,825.69 and 3,675.88

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Solution

The fourth proportional to 9,223.98, 13,825.69 and 3,675.88 is: 5,509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.98 : 13,825.69 = 3,675.88 : x
  2. Step 2: Convert to fraction form
    9,223.98/13,825.69 = 3,675.88/x
  3. Step 3: Cross multiply
    9,223.98x = 13,825.69 × 3,675.88
  4. Step 4: Simplify right side
    9,223.98x = 50,821,585.45
  5. Step 5: Solve for x
    x = 50,821,585.45/9,223.98
  6. Step 6: Final answer
    x = 5,509.73

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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.