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Finding the Fourth Proportional to 6,094.01, 9,142.29 and 3,462.73

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Solution

The fourth proportional to 6,094.01, 9,142.29 and 3,462.73 is: 5,194.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.01 : 9,142.29 = 3,462.73 : x
  2. Step 2: Convert to fraction form
    6,094.01/9,142.29 = 3,462.73/x
  3. Step 3: Cross multiply
    6,094.01x = 9,142.29 × 3,462.73
  4. Step 4: Simplify right side
    6,094.01x = 31,657,218.83
  5. Step 5: Solve for x
    x = 31,657,218.83/6,094.01
  6. Step 6: Final answer
    x = 5,194.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.