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Finding the Fourth Proportional to 9,274.63, 13,911.75 and 2,254.68

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Solution

The fourth proportional to 9,274.63, 13,911.75 and 2,254.68 is: 3,381.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.63 : 13,911.75 = 2,254.68 : x
  2. Step 2: Convert to fraction form
    9,274.63/13,911.75 = 2,254.68/x
  3. Step 3: Cross multiply
    9,274.63x = 13,911.75 × 2,254.68
  4. Step 4: Simplify right side
    9,274.63x = 31,366,544.49
  5. Step 5: Solve for x
    x = 31,366,544.49/9,274.63
  6. Step 6: Final answer
    x = 3,381.97

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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.