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Finding the Fourth Proportional to 9,721.96, 14,571.72 and 4,167.04

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Solution

The fourth proportional to 9,721.96, 14,571.72 and 4,167.04 is: 6,245.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.96 : 14,571.72 = 4,167.04 : x
  2. Step 2: Convert to fraction form
    9,721.96/14,571.72 = 4,167.04/x
  3. Step 3: Cross multiply
    9,721.96x = 14,571.72 × 4,167.04
  4. Step 4: Simplify right side
    9,721.96x = 60,720,940.11
  5. Step 5: Solve for x
    x = 60,720,940.11/9,721.96
  6. Step 6: Final answer
    x = 6,245.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.