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Finding the Fourth Proportional to 6,719.67, 9,273.72 and 3,735.42

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Solution

The fourth proportional to 6,719.67, 9,273.72 and 3,735.42 is: 5,155.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,719.67 : 9,273.72 = 3,735.42 : x
  2. Step 2: Convert to fraction form
    6,719.67/9,273.72 = 3,735.42/x
  3. Step 3: Cross multiply
    6,719.67x = 9,273.72 × 3,735.42
  4. Step 4: Simplify right side
    6,719.67x = 34,641,239.16
  5. Step 5: Solve for x
    x = 34,641,239.16/6,719.67
  6. Step 6: Final answer
    x = 5,155.20

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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.