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Finding the Fourth Proportional to 9,884.00, 13,640.19 and 5,408.01

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Solution

The fourth proportional to 9,884.00, 13,640.19 and 5,408.01 is: 7,463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.00 : 13,640.19 = 5,408.01 : x
  2. Step 2: Convert to fraction form
    9,884.00/13,640.19 = 5,408.01/x
  3. Step 3: Cross multiply
    9,884.00x = 13,640.19 × 5,408.01
  4. Step 4: Simplify right side
    9,884.00x = 73,766,283.92
  5. Step 5: Solve for x
    x = 73,766,283.92/9,884.00
  6. Step 6: Final answer
    x = 7,463.21

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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.