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Finding the Fourth Proportional to 6,741.74, 9,304.20 and 4,090.61

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Solution

The fourth proportional to 6,741.74, 9,304.20 and 4,090.61 is: 5,645.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741.74 : 9,304.20 = 4,090.61 : x
  2. Step 2: Convert to fraction form
    6,741.74/9,304.20 = 4,090.61/x
  3. Step 3: Cross multiply
    6,741.74x = 9,304.20 × 4,090.61
  4. Step 4: Simplify right side
    6,741.74x = 38,059,876.82
  5. Step 5: Solve for x
    x = 38,059,876.82/6,741.74
  6. Step 6: Final answer
    x = 5,645.41

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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.