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Finding the Fourth Proportional to 6,732, 9,289.88 and 3,747.96

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Solution

The fourth proportional to 6,732, 9,289.88 and 3,747.96 is: 5,172.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732 : 9,289.88 = 3,747.96 : x
  2. Step 2: Convert to fraction form
    6,732/9,289.88 = 3,747.96/x
  3. Step 3: Cross multiply
    6,732x = 9,289.88 × 3,747.96
  4. Step 4: Simplify right side
    6,732x = 34,818,098.64
  5. Step 5: Solve for x
    x = 34,818,098.64/6,732
  6. Step 6: Final answer
    x = 5,172.03

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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.