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Finding the Fourth Proportional to 9,164.25, 13,746.38 and 3,692.25

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Solution

The fourth proportional to 9,164.25, 13,746.38 and 3,692.25 is: 5,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.25 : 13,746.38 = 3,692.25 : x
  2. Step 2: Convert to fraction form
    9,164.25/13,746.38 = 3,692.25/x
  3. Step 3: Cross multiply
    9,164.25x = 13,746.38 × 3,692.25
  4. Step 4: Simplify right side
    9,164.25x = 50,755,053.09
  5. Step 5: Solve for x
    x = 50,755,053.09/9,164.25
  6. Step 6: Final answer
    x = 5,538.38

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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.