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Finding the Fourth Proportional to 9,254.96, 13,883.75 and 3,012.97

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Solution

The fourth proportional to 9,254.96, 13,883.75 and 3,012.97 is: 4,519.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.96 : 13,883.75 = 3,012.97 : x
  2. Step 2: Convert to fraction form
    9,254.96/13,883.75 = 3,012.97/x
  3. Step 3: Cross multiply
    9,254.96x = 13,883.75 × 3,012.97
  4. Step 4: Simplify right side
    9,254.96x = 41,831,322.24
  5. Step 5: Solve for x
    x = 41,831,322.24/9,254.96
  6. Step 6: Final answer
    x = 4,519.88

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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.