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Finding the Fourth Proportional to 9,515.34, 14,276.12 and 4,249.71

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Solution

The fourth proportional to 9,515.34, 14,276.12 and 4,249.71 is: 6,375.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,515.34 : 14,276.12 = 4,249.71 : x
  2. Step 2: Convert to fraction form
    9,515.34/14,276.12 = 4,249.71/x
  3. Step 3: Cross multiply
    9,515.34x = 14,276.12 × 4,249.71
  4. Step 4: Simplify right side
    9,515.34x = 60,669,348.68
  5. Step 5: Solve for x
    x = 60,669,348.68/9,515.34
  6. Step 6: Final answer
    x = 6,375.95

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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.