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Finding the Fourth Proportional to 9,542, 13,167.96 and 5,350.26

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Solution

The fourth proportional to 9,542, 13,167.96 and 5,350.26 is: 7,383.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542 : 13,167.96 = 5,350.26 : x
  2. Step 2: Convert to fraction form
    9,542/13,167.96 = 5,350.26/x
  3. Step 3: Cross multiply
    9,542x = 13,167.96 × 5,350.26
  4. Step 4: Simplify right side
    9,542x = 70,452,009.67
  5. Step 5: Solve for x
    x = 70,452,009.67/9,542
  6. Step 6: Final answer
    x = 7,383.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.