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Finding the Fourth Proportional to 9,948.36, 13,728.06 and 5,757.24

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Solution

The fourth proportional to 9,948.36, 13,728.06 and 5,757.24 is: 7,944.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,948.36 : 13,728.06 = 5,757.24 : x
  2. Step 2: Convert to fraction form
    9,948.36/13,728.06 = 5,757.24/x
  3. Step 3: Cross multiply
    9,948.36x = 13,728.06 × 5,757.24
  4. Step 4: Simplify right side
    9,948.36x = 79,035,736.15
  5. Step 5: Solve for x
    x = 79,035,736.15/9,948.36
  6. Step 6: Final answer
    x = 7,944.60

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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.