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Finding the Fourth Proportional to 6,735.25, 9,292.12 and 4,081.69

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Solution

The fourth proportional to 6,735.25, 9,292.12 and 4,081.69 is: 5,631.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.25 : 9,292.12 = 4,081.69 : x
  2. Step 2: Convert to fraction form
    6,735.25/9,292.12 = 4,081.69/x
  3. Step 3: Cross multiply
    6,735.25x = 9,292.12 × 4,081.69
  4. Step 4: Simplify right side
    6,735.25x = 37,927,554.69
  5. Step 5: Solve for x
    x = 37,927,554.69/6,735.25
  6. Step 6: Final answer
    x = 5,631.20

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