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Finding the Fourth Proportional to 9,813.20, 14,725.89 and 3,969.86

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Solution

The fourth proportional to 9,813.20, 14,725.89 and 3,969.86 is: 5,957.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.20 : 14,725.89 = 3,969.86 : x
  2. Step 2: Convert to fraction form
    9,813.20/14,725.89 = 3,969.86/x
  3. Step 3: Cross multiply
    9,813.20x = 14,725.89 × 3,969.86
  4. Step 4: Simplify right side
    9,813.20x = 58,459,721.68
  5. Step 5: Solve for x
    x = 58,459,721.68/9,813.20
  6. Step 6: Final answer
    x = 5,957.25

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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.