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Finding the Fourth Proportional to 9,564.33, 13,203.27 and 6,382.92

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Solution

The fourth proportional to 9,564.33, 13,203.27 and 6,382.92 is: 8,811.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.33 : 13,203.27 = 6,382.92 : x
  2. Step 2: Convert to fraction form
    9,564.33/13,203.27 = 6,382.92/x
  3. Step 3: Cross multiply
    9,564.33x = 13,203.27 × 6,382.92
  4. Step 4: Simplify right side
    9,564.33x = 84,275,416.15
  5. Step 5: Solve for x
    x = 84,275,416.15/9,564.33
  6. Step 6: Final answer
    x = 8,811.43

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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.