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Finding the Fourth Proportional to 6,449.02, 8,841.69 and 6,332.38

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Solution

The fourth proportional to 6,449.02, 8,841.69 and 6,332.38 is: 8,681.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.02 : 8,841.69 = 6,332.38 : x
  2. Step 2: Convert to fraction form
    6,449.02/8,841.69 = 6,332.38/x
  3. Step 3: Cross multiply
    6,449.02x = 8,841.69 × 6,332.38
  4. Step 4: Simplify right side
    6,449.02x = 55,988,940.92
  5. Step 5: Solve for x
    x = 55,988,940.92/6,449.02
  6. Step 6: Final answer
    x = 8,681.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.