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Finding the Fourth Proportional to 9,139.28, 13,708.92 and 8,425.94

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Solution

The fourth proportional to 9,139.28, 13,708.92 and 8,425.94 is: 12,638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.28 : 13,708.92 = 8,425.94 : x
  2. Step 2: Convert to fraction form
    9,139.28/13,708.92 = 8,425.94/x
  3. Step 3: Cross multiply
    9,139.28x = 13,708.92 × 8,425.94
  4. Step 4: Simplify right side
    9,139.28x = 115,510,537.38
  5. Step 5: Solve for x
    x = 115,510,537.38/9,139.28
  6. Step 6: Final answer
    x = 12,638.91

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