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Finding the Fourth Proportional to 9,267.75, 13,901.69 and 2,342.25

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Solution

The fourth proportional to 9,267.75, 13,901.69 and 2,342.25 is: 3,513.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.75 : 13,901.69 = 2,342.25 : x
  2. Step 2: Convert to fraction form
    9,267.75/13,901.69 = 2,342.25/x
  3. Step 3: Cross multiply
    9,267.75x = 13,901.69 × 2,342.25
  4. Step 4: Simplify right side
    9,267.75x = 32,561,239.26
  5. Step 5: Solve for x
    x = 32,561,239.26/9,267.75
  6. Step 6: Final answer
    x = 3,513.39

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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.