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Finding the Fourth Proportional to 8,622.96, 12,940.65 and 5,842.74

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Solution

The fourth proportional to 8,622.96, 12,940.65 and 5,842.74 is: 8,768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,622.96 : 12,940.65 = 5,842.74 : x
  2. Step 2: Convert to fraction form
    8,622.96/12,940.65 = 5,842.74/x
  3. Step 3: Cross multiply
    8,622.96x = 12,940.65 × 5,842.74
  4. Step 4: Simplify right side
    8,622.96x = 75,608,853.38
  5. Step 5: Solve for x
    x = 75,608,853.38/8,622.96
  6. Step 6: Final answer
    x = 8,768.32

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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.