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Finding the Fourth Proportional to 9,157.50, 13,736.48 and 3,963.38

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Solution

The fourth proportional to 9,157.50, 13,736.48 and 3,963.38 is: 5,945.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.50 : 13,736.48 = 3,963.38 : x
  2. Step 2: Convert to fraction form
    9,157.50/13,736.48 = 3,963.38/x
  3. Step 3: Cross multiply
    9,157.50x = 13,736.48 × 3,963.38
  4. Step 4: Simplify right side
    9,157.50x = 54,442,801.60
  5. Step 5: Solve for x
    x = 54,442,801.60/9,157.50
  6. Step 6: Final answer
    x = 5,945.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.