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Finding the Fourth Proportional to 9,546.42, 13,174.02 and 5,354.67

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Solution

The fourth proportional to 9,546.42, 13,174.02 and 5,354.67 is: 7,389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.42 : 13,174.02 = 5,354.67 : x
  2. Step 2: Convert to fraction form
    9,546.42/13,174.02 = 5,354.67/x
  3. Step 3: Cross multiply
    9,546.42x = 13,174.02 × 5,354.67
  4. Step 4: Simplify right side
    9,546.42x = 70,542,529.67
  5. Step 5: Solve for x
    x = 70,542,529.67/9,546.42
  6. Step 6: Final answer
    x = 7,389.42

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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.