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Finding the Fourth Proportional to 9,732.87, 13,431.63 and 5,955.96

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Solution

The fourth proportional to 9,732.87, 13,431.63 and 5,955.96 is: 8,219.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.87 : 13,431.63 = 5,955.96 : x
  2. Step 2: Convert to fraction form
    9,732.87/13,431.63 = 5,955.96/x
  3. Step 3: Cross multiply
    9,732.87x = 13,431.63 × 5,955.96
  4. Step 4: Simplify right side
    9,732.87x = 79,998,251.01
  5. Step 5: Solve for x
    x = 79,998,251.01/9,732.87
  6. Step 6: Final answer
    x = 8,219.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.