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Finding the Fourth Proportional to 9,751.32, 13,450.50 and 5,769.66

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Solution

The fourth proportional to 9,751.32, 13,450.50 and 5,769.66 is: 7,958.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.32 : 13,450.50 = 5,769.66 : x
  2. Step 2: Convert to fraction form
    9,751.32/13,450.50 = 5,769.66/x
  3. Step 3: Cross multiply
    9,751.32x = 13,450.50 × 5,769.66
  4. Step 4: Simplify right side
    9,751.32x = 77,604,811.83
  5. Step 5: Solve for x
    x = 77,604,811.83/9,751.32
  6. Step 6: Final answer
    x = 7,958.39

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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.