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Finding the Fourth Proportional to 6,743.76, 9,304.81 and 4,091.10

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Solution

The fourth proportional to 6,743.76, 9,304.81 and 4,091.10 is: 5,644.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.76 : 9,304.81 = 4,091.10 : x
  2. Step 2: Convert to fraction form
    6,743.76/9,304.81 = 4,091.10/x
  3. Step 3: Cross multiply
    6,743.76x = 9,304.81 × 4,091.10
  4. Step 4: Simplify right side
    6,743.76x = 38,066,897.96
  5. Step 5: Solve for x
    x = 38,066,897.96/6,743.76
  6. Step 6: Final answer
    x = 5,644.76

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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.