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Finding the Fourth Proportional to 8,129.96, 12,194.96 and 1,973.96

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Solution

The fourth proportional to 8,129.96, 12,194.96 and 1,973.96 is: 2,960.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.96 : 12,194.96 = 1,973.96 : x
  2. Step 2: Convert to fraction form
    8,129.96/12,194.96 = 1,973.96/x
  3. Step 3: Cross multiply
    8,129.96x = 12,194.96 × 1,973.96
  4. Step 4: Simplify right side
    8,129.96x = 24,072,363.24
  5. Step 5: Solve for x
    x = 24,072,363.24/8,129.96
  6. Step 6: Final answer
    x = 2,960.94

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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.