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Finding the Fourth Proportional to 6,375.43, 9,568.76 and 3,416.30

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Solution

The fourth proportional to 6,375.43, 9,568.76 and 3,416.30 is: 5,127.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375.43 : 9,568.76 = 3,416.30 : x
  2. Step 2: Convert to fraction form
    6,375.43/9,568.76 = 3,416.30/x
  3. Step 3: Cross multiply
    6,375.43x = 9,568.76 × 3,416.30
  4. Step 4: Simplify right side
    6,375.43x = 32,689,689.86
  5. Step 5: Solve for x
    x = 32,689,689.86/6,375.43
  6. Step 6: Final answer
    x = 5,127.45

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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.