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Finding the Fourth Proportional to 9,082.40, 12,530.48 and 5,940.41

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Solution

The fourth proportional to 9,082.40, 12,530.48 and 5,940.41 is: 8,195.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.40 : 12,530.48 = 5,940.41 : x
  2. Step 2: Convert to fraction form
    9,082.40/12,530.48 = 5,940.41/x
  3. Step 3: Cross multiply
    9,082.40x = 12,530.48 × 5,940.41
  4. Step 4: Simplify right side
    9,082.40x = 74,436,096.34
  5. Step 5: Solve for x
    x = 74,436,096.34/9,082.40
  6. Step 6: Final answer
    x = 8,195.65

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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.