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Finding the Fourth Proportional to 6,888.38, 9,506.76 and 3,864.33

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Solution

The fourth proportional to 6,888.38, 9,506.76 and 3,864.33 is: 5,333.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,888.38 : 9,506.76 = 3,864.33 : x
  2. Step 2: Convert to fraction form
    6,888.38/9,506.76 = 3,864.33/x
  3. Step 3: Cross multiply
    6,888.38x = 9,506.76 × 3,864.33
  4. Step 4: Simplify right side
    6,888.38x = 36,737,243.38
  5. Step 5: Solve for x
    x = 36,737,243.38/6,888.38
  6. Step 6: Final answer
    x = 5,333.22

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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.