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Finding the Fourth Proportional to 9,310.69, 13,963.30 and 2,735.31

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Solution

The fourth proportional to 9,310.69, 13,963.30 and 2,735.31 is: 4,102.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.69 : 13,963.30 = 2,735.31 : x
  2. Step 2: Convert to fraction form
    9,310.69/13,963.30 = 2,735.31/x
  3. Step 3: Cross multiply
    9,310.69x = 13,963.30 × 2,735.31
  4. Step 4: Simplify right side
    9,310.69x = 38,193,947.28
  5. Step 5: Solve for x
    x = 38,193,947.28/9,310.69
  6. Step 6: Final answer
    x = 4,102.16

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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.