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Finding the Fourth Proportional to 6,627.56, 9,145.50 and 3,833.24

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Solution

The fourth proportional to 6,627.56, 9,145.50 and 3,833.24 is: 5,289.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,627.56 : 9,145.50 = 3,833.24 : x
  2. Step 2: Convert to fraction form
    6,627.56/9,145.50 = 3,833.24/x
  3. Step 3: Cross multiply
    6,627.56x = 9,145.50 × 3,833.24
  4. Step 4: Simplify right side
    6,627.56x = 35,056,896.42
  5. Step 5: Solve for x
    x = 35,056,896.42/6,627.56
  6. Step 6: Final answer
    x = 5,289.56

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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.