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Finding the Fourth Proportional to 8,954.69, 13,432.05 and 3,107.19

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Solution

The fourth proportional to 8,954.69, 13,432.05 and 3,107.19 is: 4,660.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,954.69 : 13,432.05 = 3,107.19 : x
  2. Step 2: Convert to fraction form
    8,954.69/13,432.05 = 3,107.19/x
  3. Step 3: Cross multiply
    8,954.69x = 13,432.05 × 3,107.19
  4. Step 4: Simplify right side
    8,954.69x = 41,735,931.44
  5. Step 5: Solve for x
    x = 41,735,931.44/8,954.69
  6. Step 6: Final answer
    x = 4,660.79

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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.