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Finding the Fourth Proportional to 9,661.30, 14,491.95 and 2,735.86

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Solution

The fourth proportional to 9,661.30, 14,491.95 and 2,735.86 is: 4,103.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.30 : 14,491.95 = 2,735.86 : x
  2. Step 2: Convert to fraction form
    9,661.30/14,491.95 = 2,735.86/x
  3. Step 3: Cross multiply
    9,661.30x = 14,491.95 × 2,735.86
  4. Step 4: Simplify right side
    9,661.30x = 39,647,946.33
  5. Step 5: Solve for x
    x = 39,647,946.33/9,661.30
  6. Step 6: Final answer
    x = 4,103.79

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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.