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Finding the Fourth Proportional to 6,678.88, 9,217.66 and 3,884.38

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Solution

The fourth proportional to 6,678.88, 9,217.66 and 3,884.38 is: 5,360.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.88 : 9,217.66 = 3,884.38 : x
  2. Step 2: Convert to fraction form
    6,678.88/9,217.66 = 3,884.38/x
  3. Step 3: Cross multiply
    6,678.88x = 9,217.66 × 3,884.38
  4. Step 4: Simplify right side
    6,678.88x = 35,804,894.15
  5. Step 5: Solve for x
    x = 35,804,894.15/6,678.88
  6. Step 6: Final answer
    x = 5,360.91

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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.