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Finding the Fourth Proportional to 9,274.96, 12,801.82 and 5,736.16

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Solution

The fourth proportional to 9,274.96, 12,801.82 and 5,736.16 is: 7,917.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.96 : 12,801.82 = 5,736.16 : x
  2. Step 2: Convert to fraction form
    9,274.96/12,801.82 = 5,736.16/x
  3. Step 3: Cross multiply
    9,274.96x = 12,801.82 × 5,736.16
  4. Step 4: Simplify right side
    9,274.96x = 73,433,287.81
  5. Step 5: Solve for x
    x = 73,433,287.81/9,274.96
  6. Step 6: Final answer
    x = 7,917.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.