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Finding the Fourth Proportional to 9,614.82, 13,258.20 and 7,594.68

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Solution

The fourth proportional to 9,614.82, 13,258.20 and 7,594.68 is: 10,472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.82 : 13,258.20 = 7,594.68 : x
  2. Step 2: Convert to fraction form
    9,614.82/13,258.20 = 7,594.68/x
  3. Step 3: Cross multiply
    9,614.82x = 13,258.20 × 7,594.68
  4. Step 4: Simplify right side
    9,614.82x = 100,691,786.38
  5. Step 5: Solve for x
    x = 100,691,786.38/9,614.82
  6. Step 6: Final answer
    x = 10,472.56

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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.