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Finding the Fourth Proportional to 6,661.38, 9,196.22 and 4,304.86

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Solution

The fourth proportional to 6,661.38, 9,196.22 and 4,304.86 is: 5,942.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.38 : 9,196.22 = 4,304.86 : x
  2. Step 2: Convert to fraction form
    6,661.38/9,196.22 = 4,304.86/x
  3. Step 3: Cross multiply
    6,661.38x = 9,196.22 × 4,304.86
  4. Step 4: Simplify right side
    6,661.38x = 39,588,439.63
  5. Step 5: Solve for x
    x = 39,588,439.63/6,661.38
  6. Step 6: Final answer
    x = 5,942.98

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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.