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Finding the Fourth Proportional to 8,409.16, 11,604.92 and 6,309.64

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Solution

The fourth proportional to 8,409.16, 11,604.92 and 6,309.64 is: 8,707.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.16 : 11,604.92 = 6,309.64 : x
  2. Step 2: Convert to fraction form
    8,409.16/11,604.92 = 6,309.64/x
  3. Step 3: Cross multiply
    8,409.16x = 11,604.92 × 6,309.64
  4. Step 4: Simplify right side
    8,409.16x = 73,222,867.43
  5. Step 5: Solve for x
    x = 73,222,867.43/8,409.16
  6. Step 6: Final answer
    x = 8,707.51

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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.