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Finding the Fourth Proportional to 8,942.64, 13,416.84 and 3,747.12

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Solution

The fourth proportional to 8,942.64, 13,416.84 and 3,747.12 is: 5,621.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942.64 : 13,416.84 = 3,747.12 : x
  2. Step 2: Convert to fraction form
    8,942.64/13,416.84 = 3,747.12/x
  3. Step 3: Cross multiply
    8,942.64x = 13,416.84 × 3,747.12
  4. Step 4: Simplify right side
    8,942.64x = 50,274,509.50
  5. Step 5: Solve for x
    x = 50,274,509.50/8,942.64
  6. Step 6: Final answer
    x = 5,621.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.