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Finding the Fourth Proportional to 9,948.84, 13,728.60 and 5,757.36

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Solution

The fourth proportional to 9,948.84, 13,728.60 and 5,757.36 is: 7,944.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,948.84 : 13,728.60 = 5,757.36 : x
  2. Step 2: Convert to fraction form
    9,948.84/13,728.60 = 5,757.36/x
  3. Step 3: Cross multiply
    9,948.84x = 13,728.60 × 5,757.36
  4. Step 4: Simplify right side
    9,948.84x = 79,040,492.50
  5. Step 5: Solve for x
    x = 79,040,492.50/9,948.84
  6. Step 6: Final answer
    x = 7,944.69

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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.