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Finding the Fourth Proportional to 7,145.97, 9,861.74 and 4,161.32

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Solution

The fourth proportional to 7,145.97, 9,861.74 and 4,161.32 is: 5,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.97 : 9,861.74 = 4,161.32 : x
  2. Step 2: Convert to fraction form
    7,145.97/9,861.74 = 4,161.32/x
  3. Step 3: Cross multiply
    7,145.97x = 9,861.74 × 4,161.32
  4. Step 4: Simplify right side
    7,145.97x = 41,037,880.55
  5. Step 5: Solve for x
    x = 41,037,880.55/7,145.97
  6. Step 6: Final answer
    x = 5,742.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.