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Finding the Fourth Proportional to 6,731.69, 9,289.51 and 3,747.42

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Solution

The fourth proportional to 6,731.69, 9,289.51 and 3,747.42 is: 5,171.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.69 : 9,289.51 = 3,747.42 : x
  2. Step 2: Convert to fraction form
    6,731.69/9,289.51 = 3,747.42/x
  3. Step 3: Cross multiply
    6,731.69x = 9,289.51 × 3,747.42
  4. Step 4: Simplify right side
    6,731.69x = 34,811,686.20
  5. Step 5: Solve for x
    x = 34,811,686.20/6,731.69
  6. Step 6: Final answer
    x = 5,171.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.