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Finding the Fourth Proportional to 9,832.41, 13,568.76 and 5,356.12

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Solution

The fourth proportional to 9,832.41, 13,568.76 and 5,356.12 is: 7,391.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.41 : 13,568.76 = 5,356.12 : x
  2. Step 2: Convert to fraction form
    9,832.41/13,568.76 = 5,356.12/x
  3. Step 3: Cross multiply
    9,832.41x = 13,568.76 × 5,356.12
  4. Step 4: Simplify right side
    9,832.41x = 72,675,906.81
  5. Step 5: Solve for x
    x = 72,675,906.81/9,832.41
  6. Step 6: Final answer
    x = 7,391.46

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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.