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Finding the Fourth Proportional to 9,309.08, 12,842.24 and 8,247.92

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Solution

The fourth proportional to 9,309.08, 12,842.24 and 8,247.92 is: 11,378.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.08 : 12,842.24 = 8,247.92 : x
  2. Step 2: Convert to fraction form
    9,309.08/12,842.24 = 8,247.92/x
  3. Step 3: Cross multiply
    9,309.08x = 12,842.24 × 8,247.92
  4. Step 4: Simplify right side
    9,309.08x = 105,921,820.87
  5. Step 5: Solve for x
    x = 105,921,820.87/9,309.08
  6. Step 6: Final answer
    x = 11,378.34

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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.