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Finding the Fourth Proportional to 6,731.73, 9,289.62 and 3,747.50

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Solution

The fourth proportional to 6,731.73, 9,289.62 and 3,747.50 is: 5,171.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.73 : 9,289.62 = 3,747.50 : x
  2. Step 2: Convert to fraction form
    6,731.73/9,289.62 = 3,747.50/x
  3. Step 3: Cross multiply
    6,731.73x = 9,289.62 × 3,747.50
  4. Step 4: Simplify right side
    6,731.73x = 34,812,804.50
  5. Step 5: Solve for x
    x = 34,812,804.50/6,731.73
  6. Step 6: Final answer
    x = 5,171.45

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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.