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Finding the Fourth Proportional to 9,960.56, 13,744.02 and 5,768

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Solution

The fourth proportional to 9,960.56, 13,744.02 and 5,768 is: 7,958.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960.56 : 13,744.02 = 5,768 : x
  2. Step 2: Convert to fraction form
    9,960.56/13,744.02 = 5,768/x
  3. Step 3: Cross multiply
    9,960.56x = 13,744.02 × 5,768
  4. Step 4: Simplify right side
    9,960.56x = 79,275,507.36
  5. Step 5: Solve for x
    x = 79,275,507.36/9,960.56
  6. Step 6: Final answer
    x = 7,958.94

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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.