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Finding the Fourth Proportional to 9,954, 13,735.62 and 5,477.94

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Solution

The fourth proportional to 9,954, 13,735.62 and 5,477.94 is: 7,559.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954 : 13,735.62 = 5,477.94 : x
  2. Step 2: Convert to fraction form
    9,954/13,735.62 = 5,477.94/x
  3. Step 3: Cross multiply
    9,954x = 13,735.62 × 5,477.94
  4. Step 4: Simplify right side
    9,954x = 75,242,902.22
  5. Step 5: Solve for x
    x = 75,242,902.22/9,954
  6. Step 6: Final answer
    x = 7,559.06

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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.