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Finding the Fourth Proportional to 9,723.98, 13,439.79 and 8,572.16

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Solution

The fourth proportional to 9,723.98, 13,439.79 and 8,572.16 is: 11,847.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.98 : 13,439.79 = 8,572.16 : x
  2. Step 2: Convert to fraction form
    9,723.98/13,439.79 = 8,572.16/x
  3. Step 3: Cross multiply
    9,723.98x = 13,439.79 × 8,572.16
  4. Step 4: Simplify right side
    9,723.98x = 115,207,963.05
  5. Step 5: Solve for x
    x = 115,207,963.05/9,723.98
  6. Step 6: Final answer
    x = 11,847.83

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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.