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Finding the Fourth Proportional to 6,741.89, 9,304.02 and 3,758.36

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Solution

The fourth proportional to 6,741.89, 9,304.02 and 3,758.36 is: 5,186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741.89 : 9,304.02 = 3,758.36 : x
  2. Step 2: Convert to fraction form
    6,741.89/9,304.02 = 3,758.36/x
  3. Step 3: Cross multiply
    6,741.89x = 9,304.02 × 3,758.36
  4. Step 4: Simplify right side
    6,741.89x = 34,967,810.09
  5. Step 5: Solve for x
    x = 34,967,810.09/6,741.89
  6. Step 6: Final answer
    x = 5,186.65

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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.