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Finding the Fourth Proportional to 9,708.29, 13,389.17 and 8,203.20

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Solution

The fourth proportional to 9,708.29, 13,389.17 and 8,203.20 is: 11,313.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.29 : 13,389.17 = 8,203.20 : x
  2. Step 2: Convert to fraction form
    9,708.29/13,389.17 = 8,203.20/x
  3. Step 3: Cross multiply
    9,708.29x = 13,389.17 × 8,203.20
  4. Step 4: Simplify right side
    9,708.29x = 109,833,998.33
  5. Step 5: Solve for x
    x = 109,833,998.33/9,708.29
  6. Step 6: Final answer
    x = 11,313.43

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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.