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Finding the Fourth Proportional to 6,232.75, 9,330.59 and 3,760.02

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Solution

The fourth proportional to 6,232.75, 9,330.59 and 3,760.02 is: 5,628.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.75 : 9,330.59 = 3,760.02 : x
  2. Step 2: Convert to fraction form
    6,232.75/9,330.59 = 3,760.02/x
  3. Step 3: Cross multiply
    6,232.75x = 9,330.59 × 3,760.02
  4. Step 4: Simplify right side
    6,232.75x = 35,083,214.41
  5. Step 5: Solve for x
    x = 35,083,214.41/6,232.75
  6. Step 6: Final answer
    x = 5,628.85

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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.