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Finding the Fourth Proportional to 9,223.30, 13,837.14 and 2,649.34

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Solution

The fourth proportional to 9,223.30, 13,837.14 and 2,649.34 is: 3,974.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.30 : 13,837.14 = 2,649.34 : x
  2. Step 2: Convert to fraction form
    9,223.30/13,837.14 = 2,649.34/x
  3. Step 3: Cross multiply
    9,223.30x = 13,837.14 × 2,649.34
  4. Step 4: Simplify right side
    9,223.30x = 36,659,288.49
  5. Step 5: Solve for x
    x = 36,659,288.49/9,223.30
  6. Step 6: Final answer
    x = 3,974.64

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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.