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Finding the Fourth Proportional to 6,732.73, 9,290.70 and 4,214.73

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Solution

The fourth proportional to 6,732.73, 9,290.70 and 4,214.73 is: 5,816.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.73 : 9,290.70 = 4,214.73 : x
  2. Step 2: Convert to fraction form
    6,732.73/9,290.70 = 4,214.73/x
  3. Step 3: Cross multiply
    6,732.73x = 9,290.70 × 4,214.73
  4. Step 4: Simplify right side
    6,732.73x = 39,157,792.01
  5. Step 5: Solve for x
    x = 39,157,792.01/6,732.73
  6. Step 6: Final answer
    x = 5,816.04

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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.