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Finding the Fourth Proportional to 8,842.92, 12,213.63 and 6,463.68

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Solution

The fourth proportional to 8,842.92, 12,213.63 and 6,463.68 is: 8,927.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842.92 : 12,213.63 = 6,463.68 : x
  2. Step 2: Convert to fraction form
    8,842.92/12,213.63 = 6,463.68/x
  3. Step 3: Cross multiply
    8,842.92x = 12,213.63 × 6,463.68
  4. Step 4: Simplify right side
    8,842.92x = 78,944,995.96
  5. Step 5: Solve for x
    x = 78,944,995.96/8,842.92
  6. Step 6: Final answer
    x = 8,927.48

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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.