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Finding the Fourth Proportional to 6,984.72, 9,638.82 and 4,001.04

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Solution

The fourth proportional to 6,984.72, 9,638.82 and 4,001.04 is: 5,521.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.72 : 9,638.82 = 4,001.04 : x
  2. Step 2: Convert to fraction form
    6,984.72/9,638.82 = 4,001.04/x
  3. Step 3: Cross multiply
    6,984.72x = 9,638.82 × 4,001.04
  4. Step 4: Simplify right side
    6,984.72x = 38,565,304.37
  5. Step 5: Solve for x
    x = 38,565,304.37/6,984.72
  6. Step 6: Final answer
    x = 5,521.38

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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.