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Finding the Fourth Proportional to 9,123.30, 13,676.85 and 8,139.15

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Solution

The fourth proportional to 9,123.30, 13,676.85 and 8,139.15 is: 12,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.30 : 13,676.85 = 8,139.15 : x
  2. Step 2: Convert to fraction form
    9,123.30/13,676.85 = 8,139.15/x
  3. Step 3: Cross multiply
    9,123.30x = 13,676.85 × 8,139.15
  4. Step 4: Simplify right side
    9,123.30x = 111,317,933.68
  5. Step 5: Solve for x
    x = 111,317,933.68/9,123.30
  6. Step 6: Final answer
    x = 12,201.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.