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Finding the Fourth Proportional to 9,765.38, 13,476.26 and 5,289.14

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Solution

The fourth proportional to 9,765.38, 13,476.26 and 5,289.14 is: 7,299.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.38 : 13,476.26 = 5,289.14 : x
  2. Step 2: Convert to fraction form
    9,765.38/13,476.26 = 5,289.14/x
  3. Step 3: Cross multiply
    9,765.38x = 13,476.26 × 5,289.14
  4. Step 4: Simplify right side
    9,765.38x = 71,277,872.73
  5. Step 5: Solve for x
    x = 71,277,872.73/9,765.38
  6. Step 6: Final answer
    x = 7,299.04

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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.