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Finding the Fourth Proportional to 9,223.74, 13,835.25 and 2,649.90

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Solution

The fourth proportional to 9,223.74, 13,835.25 and 2,649.90 is: 3,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.74 : 13,835.25 = 2,649.90 : x
  2. Step 2: Convert to fraction form
    9,223.74/13,835.25 = 2,649.90/x
  3. Step 3: Cross multiply
    9,223.74x = 13,835.25 × 2,649.90
  4. Step 4: Simplify right side
    9,223.74x = 36,662,028.98
  5. Step 5: Solve for x
    x = 36,662,028.98/9,223.74
  6. Step 6: Final answer
    x = 3,974.75

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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.