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Finding the Fourth Proportional to 9,941, 14,910.94 and 3,700.04

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Solution

The fourth proportional to 9,941, 14,910.94 and 3,700.04 is: 5,549.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,941 : 14,910.94 = 3,700.04 : x
  2. Step 2: Convert to fraction form
    9,941/14,910.94 = 3,700.04/x
  3. Step 3: Cross multiply
    9,941x = 14,910.94 × 3,700.04
  4. Step 4: Simplify right side
    9,941x = 55,171,074.44
  5. Step 5: Solve for x
    x = 55,171,074.44/9,941
  6. Step 6: Final answer
    x = 5,549.85

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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.