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Finding the Fourth Proportional to 35,796.72, 53,696.94 and 9,142.97

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Solution

The fourth proportional to 35,796.72, 53,696.94 and 9,142.97 is: 13,714.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,796.72 : 53,696.94 = 9,142.97 : x
  2. Step 2: Convert to fraction form
    35,796.72/53,696.94 = 9,142.97/x
  3. Step 3: Cross multiply
    35,796.72x = 53,696.94 × 9,142.97
  4. Step 4: Simplify right side
    35,796.72x = 490,949,243.03
  5. Step 5: Solve for x
    x = 490,949,243.03/35,796.72
  6. Step 6: Final answer
    x = 13,714.92

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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.