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Finding the Fourth Proportional to 6,043.34, 9,057.66 and 3,695.96

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Solution

The fourth proportional to 6,043.34, 9,057.66 and 3,695.96 is: 5,539.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,043.34 : 9,057.66 = 3,695.96 : x
  2. Step 2: Convert to fraction form
    6,043.34/9,057.66 = 3,695.96/x
  3. Step 3: Cross multiply
    6,043.34x = 9,057.66 × 3,695.96
  4. Step 4: Simplify right side
    6,043.34x = 33,476,749.05
  5. Step 5: Solve for x
    x = 33,476,749.05/6,043.34
  6. Step 6: Final answer
    x = 5,539.44

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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.