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Finding the Fourth Proportional to 9,935.44, 13,711.54 and 5,687.80

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Solution

The fourth proportional to 9,935.44, 13,711.54 and 5,687.80 is: 7,849.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935.44 : 13,711.54 = 5,687.80 : x
  2. Step 2: Convert to fraction form
    9,935.44/13,711.54 = 5,687.80/x
  3. Step 3: Cross multiply
    9,935.44x = 13,711.54 × 5,687.80
  4. Step 4: Simplify right side
    9,935.44x = 77,988,497.21
  5. Step 5: Solve for x
    x = 77,988,497.21/9,935.44
  6. Step 6: Final answer
    x = 7,849.53

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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.