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Finding the Fourth Proportional to 9,233.44, 12,742.44 and 5,696.56

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Solution

The fourth proportional to 9,233.44, 12,742.44 and 5,696.56 is: 7,861.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.44 : 12,742.44 = 5,696.56 : x
  2. Step 2: Convert to fraction form
    9,233.44/12,742.44 = 5,696.56/x
  3. Step 3: Cross multiply
    9,233.44x = 12,742.44 × 5,696.56
  4. Step 4: Simplify right side
    9,233.44x = 72,588,074.01
  5. Step 5: Solve for x
    x = 72,588,074.01/9,233.44
  6. Step 6: Final answer
    x = 7,861.43

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Why These Related Problems?

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