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Finding the Fourth Proportional to 8,961.30, 12,369.24 and 6,309.36

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Solution

The fourth proportional to 8,961.30, 12,369.24 and 6,309.36 is: 8,708.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,961.30 : 12,369.24 = 6,309.36 : x
  2. Step 2: Convert to fraction form
    8,961.30/12,369.24 = 6,309.36/x
  3. Step 3: Cross multiply
    8,961.30x = 12,369.24 × 6,309.36
  4. Step 4: Simplify right side
    8,961.30x = 78,041,988.09
  5. Step 5: Solve for x
    x = 78,041,988.09/8,961.30
  6. Step 6: Final answer
    x = 8,708.78

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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.