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Finding the Fourth Proportional to 6,289.72, 9,428.46 and 3,517.72

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Solution

The fourth proportional to 6,289.72, 9,428.46 and 3,517.72 is: 5,273.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.72 : 9,428.46 = 3,517.72 : x
  2. Step 2: Convert to fraction form
    6,289.72/9,428.46 = 3,517.72/x
  3. Step 3: Cross multiply
    6,289.72x = 9,428.46 × 3,517.72
  4. Step 4: Simplify right side
    6,289.72x = 33,166,682.31
  5. Step 5: Solve for x
    x = 33,166,682.31/6,289.72
  6. Step 6: Final answer
    x = 5,273.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.