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Finding the Fourth Proportional to 6,743.26, 9,310.71 and 4,094.25

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Solution

The fourth proportional to 6,743.26, 9,310.71 and 4,094.25 is: 5,653.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.26 : 9,310.71 = 4,094.25 : x
  2. Step 2: Convert to fraction form
    6,743.26/9,310.71 = 4,094.25/x
  3. Step 3: Cross multiply
    6,743.26x = 9,310.71 × 4,094.25
  4. Step 4: Simplify right side
    6,743.26x = 38,120,374.42
  5. Step 5: Solve for x
    x = 38,120,374.42/6,743.26
  6. Step 6: Final answer
    x = 5,653.11

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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.