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Finding the Fourth Proportional to 9,872.49, 13,624.40 and 5,396.54

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Solution

The fourth proportional to 9,872.49, 13,624.40 and 5,396.54 is: 7,447.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.49 : 13,624.40 = 5,396.54 : x
  2. Step 2: Convert to fraction form
    9,872.49/13,624.40 = 5,396.54/x
  3. Step 3: Cross multiply
    9,872.49x = 13,624.40 × 5,396.54
  4. Step 4: Simplify right side
    9,872.49x = 73,524,667.13
  5. Step 5: Solve for x
    x = 73,524,667.13/9,872.49
  6. Step 6: Final answer
    x = 7,447.43

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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.