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Finding the Fourth Proportional to 9,954.38, 13,736.52 and 5,477.27

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Solution

The fourth proportional to 9,954.38, 13,736.52 and 5,477.27 is: 7,558.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.38 : 13,736.52 = 5,477.27 : x
  2. Step 2: Convert to fraction form
    9,954.38/13,736.52 = 5,477.27/x
  3. Step 3: Cross multiply
    9,954.38x = 13,736.52 × 5,477.27
  4. Step 4: Simplify right side
    9,954.38x = 75,238,617.13
  5. Step 5: Solve for x
    x = 75,238,617.13/9,954.38
  6. Step 6: Final answer
    x = 7,558.34

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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.