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Finding the Fourth Proportional to 9,260.57, 13,898.65 and 8,676.71

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Solution

The fourth proportional to 9,260.57, 13,898.65 and 8,676.71 is: 13,022.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.57 : 13,898.65 = 8,676.71 : x
  2. Step 2: Convert to fraction form
    9,260.57/13,898.65 = 8,676.71/x
  3. Step 3: Cross multiply
    9,260.57x = 13,898.65 × 8,676.71
  4. Step 4: Simplify right side
    9,260.57x = 120,594,546.80
  5. Step 5: Solve for x
    x = 120,594,546.80/9,260.57
  6. Step 6: Final answer
    x = 13,022.36

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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.