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Finding the Fourth Proportional to 9,519.42, 13,141.73 and 5,935.44

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Solution

The fourth proportional to 9,519.42, 13,141.73 and 5,935.44 is: 8,193.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,519.42 : 13,141.73 = 5,935.44 : x
  2. Step 2: Convert to fraction form
    9,519.42/13,141.73 = 5,935.44/x
  3. Step 3: Cross multiply
    9,519.42x = 13,141.73 × 5,935.44
  4. Step 4: Simplify right side
    9,519.42x = 78,001,949.91
  5. Step 5: Solve for x
    x = 78,001,949.91/9,519.42
  6. Step 6: Final answer
    x = 8,193.98

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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.