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Finding the Fourth Proportional to 9,452, 14,178.12 and 3,296

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Solution

The fourth proportional to 9,452, 14,178.12 and 3,296 is: 4,944.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452 : 14,178.12 = 3,296 : x
  2. Step 2: Convert to fraction form
    9,452/14,178.12 = 3,296/x
  3. Step 3: Cross multiply
    9,452x = 14,178.12 × 3,296
  4. Step 4: Simplify right side
    9,452x = 46,731,083.52
  5. Step 5: Solve for x
    x = 46,731,083.52/9,452
  6. Step 6: Final answer
    x = 4,944.04

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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.