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Finding the Fourth Proportional to 9,701.92, 14,552.96 and 5,999.68

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Solution

The fourth proportional to 9,701.92, 14,552.96 and 5,999.68 is: 8,999.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.92 : 14,552.96 = 5,999.68 : x
  2. Step 2: Convert to fraction form
    9,701.92/14,552.96 = 5,999.68/x
  3. Step 3: Cross multiply
    9,701.92x = 14,552.96 × 5,999.68
  4. Step 4: Simplify right side
    9,701.92x = 87,313,103.05
  5. Step 5: Solve for x
    x = 87,313,103.05/9,701.92
  6. Step 6: Final answer
    x = 8,999.57

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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.