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Finding the Fourth Proportional to 9,824.64, 14,716.89 and 8,175.87

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Solution

The fourth proportional to 9,824.64, 14,716.89 and 8,175.87 is: 12,247.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.64 : 14,716.89 = 8,175.87 : x
  2. Step 2: Convert to fraction form
    9,824.64/14,716.89 = 8,175.87/x
  3. Step 3: Cross multiply
    9,824.64x = 14,716.89 × 8,175.87
  4. Step 4: Simplify right side
    9,824.64x = 120,323,379.44
  5. Step 5: Solve for x
    x = 120,323,379.44/9,824.64
  6. Step 6: Final answer
    x = 12,247.10

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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.