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Finding the Fourth Proportional to 9,546.38, 13,174.01 and 5,354.63

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Solution

The fourth proportional to 9,546.38, 13,174.01 and 5,354.63 is: 7,389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.38 : 13,174.01 = 5,354.63 : x
  2. Step 2: Convert to fraction form
    9,546.38/13,174.01 = 5,354.63/x
  3. Step 3: Cross multiply
    9,546.38x = 13,174.01 × 5,354.63
  4. Step 4: Simplify right side
    9,546.38x = 70,541,856.52
  5. Step 5: Solve for x
    x = 70,541,856.52/9,546.38
  6. Step 6: Final answer
    x = 7,389.39

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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.