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Finding the Fourth Proportional to 9,968.46, 13,755.97 and 5,492.09

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Solution

The fourth proportional to 9,968.46, 13,755.97 and 5,492.09 is: 7,578.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.46 : 13,755.97 = 5,492.09 : x
  2. Step 2: Convert to fraction form
    9,968.46/13,755.97 = 5,492.09/x
  3. Step 3: Cross multiply
    9,968.46x = 13,755.97 × 5,492.09
  4. Step 4: Simplify right side
    9,968.46x = 75,549,025.28
  5. Step 5: Solve for x
    x = 75,549,025.28/9,968.46
  6. Step 6: Final answer
    x = 7,578.81

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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.