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Finding the Fourth Proportional to 9,884.38, 13,640.58 and 5,905.84

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Solution

The fourth proportional to 9,884.38, 13,640.58 and 5,905.84 is: 8,150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.38 : 13,640.58 = 5,905.84 : x
  2. Step 2: Convert to fraction form
    9,884.38/13,640.58 = 5,905.84/x
  3. Step 3: Cross multiply
    9,884.38x = 13,640.58 × 5,905.84
  4. Step 4: Simplify right side
    9,884.38x = 80,559,082.99
  5. Step 5: Solve for x
    x = 80,559,082.99/9,884.38
  6. Step 6: Final answer
    x = 8,150.14

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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.