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Finding the Fourth Proportional to 9,629, 13,288.34 and 5,902.28

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Solution

The fourth proportional to 9,629, 13,288.34 and 5,902.28 is: 8,145.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,629 : 13,288.34 = 5,902.28 : x
  2. Step 2: Convert to fraction form
    9,629/13,288.34 = 5,902.28/x
  3. Step 3: Cross multiply
    9,629x = 13,288.34 × 5,902.28
  4. Step 4: Simplify right side
    9,629x = 78,431,503.42
  5. Step 5: Solve for x
    x = 78,431,503.42/9,629
  6. Step 6: Final answer
    x = 8,145.34

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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.