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Finding the Fourth Proportional to 6,743.69, 9,302.62 and 4,225.26

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Solution

The fourth proportional to 6,743.69, 9,302.62 and 4,225.26 is: 5,828.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.69 : 9,302.62 = 4,225.26 : x
  2. Step 2: Convert to fraction form
    6,743.69/9,302.62 = 4,225.26/x
  3. Step 3: Cross multiply
    6,743.69x = 9,302.62 × 4,225.26
  4. Step 4: Simplify right side
    6,743.69x = 39,305,988.18
  5. Step 5: Solve for x
    x = 39,305,988.18/6,743.69
  6. Step 6: Final answer
    x = 5,828.56

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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.