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Finding the Fourth Proportional to 9,546.75, 13,174.52 and 5,354.91

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Solution

The fourth proportional to 9,546.75, 13,174.52 and 5,354.91 is: 7,389.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.75 : 13,174.52 = 5,354.91 : x
  2. Step 2: Convert to fraction form
    9,546.75/13,174.52 = 5,354.91/x
  3. Step 3: Cross multiply
    9,546.75x = 13,174.52 × 5,354.91
  4. Step 4: Simplify right side
    9,546.75x = 70,548,342.12
  5. Step 5: Solve for x
    x = 70,548,342.12/9,546.75
  6. Step 6: Final answer
    x = 7,389.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.