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Finding the Fourth Proportional to 9,997.57, 13,795.84 and 5,748.41

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Solution

The fourth proportional to 9,997.57, 13,795.84 and 5,748.41 is: 7,932.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.57 : 13,795.84 = 5,748.41 : x
  2. Step 2: Convert to fraction form
    9,997.57/13,795.84 = 5,748.41/x
  3. Step 3: Cross multiply
    9,997.57x = 13,795.84 × 5,748.41
  4. Step 4: Simplify right side
    9,997.57x = 79,304,164.73
  5. Step 5: Solve for x
    x = 79,304,164.73/9,997.57
  6. Step 6: Final answer
    x = 7,932.35

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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.