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Finding the Fourth Proportional to 9,175.71, 13,770.33 and 4,183.74

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Solution

The fourth proportional to 9,175.71, 13,770.33 and 4,183.74 is: 6,278.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.71 : 13,770.33 = 4,183.74 : x
  2. Step 2: Convert to fraction form
    9,175.71/13,770.33 = 4,183.74/x
  3. Step 3: Cross multiply
    9,175.71x = 13,770.33 × 4,183.74
  4. Step 4: Simplify right side
    9,175.71x = 57,611,480.43
  5. Step 5: Solve for x
    x = 57,611,480.43/9,175.71
  6. Step 6: Final answer
    x = 6,278.69

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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.