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Finding the Fourth Proportional to 6,378.41, 9,568.60 and 3,256.72

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Solution

The fourth proportional to 6,378.41, 9,568.60 and 3,256.72 is: 4,885.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.41 : 9,568.60 = 3,256.72 : x
  2. Step 2: Convert to fraction form
    6,378.41/9,568.60 = 3,256.72/x
  3. Step 3: Cross multiply
    6,378.41x = 9,568.60 × 3,256.72
  4. Step 4: Simplify right side
    6,378.41x = 31,162,250.99
  5. Step 5: Solve for x
    x = 31,162,250.99/6,378.41
  6. Step 6: Final answer
    x = 4,885.58

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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.