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Finding the Fourth Proportional to 9,274.26, 13,911.29 and 2,254.37

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Solution

The fourth proportional to 9,274.26, 13,911.29 and 2,254.37 is: 3,381.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.26 : 13,911.29 = 2,254.37 : x
  2. Step 2: Convert to fraction form
    9,274.26/13,911.29 = 2,254.37/x
  3. Step 3: Cross multiply
    9,274.26x = 13,911.29 × 2,254.37
  4. Step 4: Simplify right side
    9,274.26x = 31,361,114.01
  5. Step 5: Solve for x
    x = 31,361,114.01/9,274.26
  6. Step 6: Final answer
    x = 3,381.52

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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.