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Finding the Fourth Proportional to 9,764.38, 13,474.84 and 5,288.13

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Solution

The fourth proportional to 9,764.38, 13,474.84 and 5,288.13 is: 7,297.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.38 : 13,474.84 = 5,288.13 : x
  2. Step 2: Convert to fraction form
    9,764.38/13,474.84 = 5,288.13/x
  3. Step 3: Cross multiply
    9,764.38x = 13,474.84 × 5,288.13
  4. Step 4: Simplify right side
    9,764.38x = 71,256,679.21
  5. Step 5: Solve for x
    x = 71,256,679.21/9,764.38
  6. Step 6: Final answer
    x = 7,297.62

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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.