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Finding the Fourth Proportional to 6,382.32, 9,575.04 and 2,682.54

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Solution

The fourth proportional to 6,382.32, 9,575.04 and 2,682.54 is: 4,024.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.32 : 9,575.04 = 2,682.54 : x
  2. Step 2: Convert to fraction form
    6,382.32/9,575.04 = 2,682.54/x
  3. Step 3: Cross multiply
    6,382.32x = 9,575.04 × 2,682.54
  4. Step 4: Simplify right side
    6,382.32x = 25,685,427.80
  5. Step 5: Solve for x
    x = 25,685,427.80/6,382.32
  6. Step 6: Final answer
    x = 4,024.47

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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.