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Finding the Fourth Proportional to 9,677.28, 13,324.85 and 8,475.34

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Solution

The fourth proportional to 9,677.28, 13,324.85 and 8,475.34 is: 11,669.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.28 : 13,324.85 = 8,475.34 : x
  2. Step 2: Convert to fraction form
    9,677.28/13,324.85 = 8,475.34/x
  3. Step 3: Cross multiply
    9,677.28x = 13,324.85 × 8,475.34
  4. Step 4: Simplify right side
    9,677.28x = 112,932,634.20
  5. Step 5: Solve for x
    x = 112,932,634.20/9,677.28
  6. Step 6: Final answer
    x = 11,669.87

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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.