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Finding the Fourth Proportional to 6,162.44, 9,242 and 2,872.32

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Solution

The fourth proportional to 6,162.44, 9,242 and 2,872.32 is: 4,307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.44 : 9,242 = 2,872.32 : x
  2. Step 2: Convert to fraction form
    6,162.44/9,242 = 2,872.32/x
  3. Step 3: Cross multiply
    6,162.44x = 9,242 × 2,872.32
  4. Step 4: Simplify right side
    6,162.44x = 26,545,981.44
  5. Step 5: Solve for x
    x = 26,545,981.44/6,162.44
  6. Step 6: Final answer
    x = 4,307.71

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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.