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Finding the Fourth Proportional to 6,493.65, 8,961.22 and 3,509.47

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Solution

The fourth proportional to 6,493.65, 8,961.22 and 3,509.47 is: 4,843.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.65 : 8,961.22 = 3,509.47 : x
  2. Step 2: Convert to fraction form
    6,493.65/8,961.22 = 3,509.47/x
  3. Step 3: Cross multiply
    6,493.65x = 8,961.22 × 3,509.47
  4. Step 4: Simplify right side
    6,493.65x = 31,449,132.75
  5. Step 5: Solve for x
    x = 31,449,132.75/6,493.65
  6. Step 6: Final answer
    x = 4,843.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.