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Finding the Fourth Proportional to 9,832.50, 13,568.91 and 5,356.21

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Solution

The fourth proportional to 9,832.50, 13,568.91 and 5,356.21 is: 7,391.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.50 : 13,568.91 = 5,356.21 : x
  2. Step 2: Convert to fraction form
    9,832.50/13,568.91 = 5,356.21/x
  3. Step 3: Cross multiply
    9,832.50x = 13,568.91 × 5,356.21
  4. Step 4: Simplify right side
    9,832.50x = 72,677,931.43
  5. Step 5: Solve for x
    x = 72,677,931.43/9,832.50
  6. Step 6: Final answer
    x = 7,391.61

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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.