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Finding the Fourth Proportional to 6,743.40, 9,304.29 and 4,090.74

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Solution

The fourth proportional to 6,743.40, 9,304.29 and 4,090.74 is: 5,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.40 : 9,304.29 = 4,090.74 : x
  2. Step 2: Convert to fraction form
    6,743.40/9,304.29 = 4,090.74/x
  3. Step 3: Cross multiply
    6,743.40x = 9,304.29 × 4,090.74
  4. Step 4: Simplify right side
    6,743.40x = 38,061,431.27
  5. Step 5: Solve for x
    x = 38,061,431.27/6,743.40
  6. Step 6: Final answer
    x = 5,644.25

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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.