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Finding the Fourth Proportional to 9,697.94, 14,546.96 and 3,854.57

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Solution

The fourth proportional to 9,697.94, 14,546.96 and 3,854.57 is: 5,781.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.94 : 14,546.96 = 3,854.57 : x
  2. Step 2: Convert to fraction form
    9,697.94/14,546.96 = 3,854.57/x
  3. Step 3: Cross multiply
    9,697.94x = 14,546.96 × 3,854.57
  4. Step 4: Simplify right side
    9,697.94x = 56,072,198.05
  5. Step 5: Solve for x
    x = 56,072,198.05/9,697.94
  6. Step 6: Final answer
    x = 5,781.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.