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Finding the Fourth Proportional to 6,057.60, 9,071.82 and 4,103.88

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Solution

The fourth proportional to 6,057.60, 9,071.82 and 4,103.88 is: 6,145.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.60 : 9,071.82 = 4,103.88 : x
  2. Step 2: Convert to fraction form
    6,057.60/9,071.82 = 4,103.88/x
  3. Step 3: Cross multiply
    6,057.60x = 9,071.82 × 4,103.88
  4. Step 4: Simplify right side
    6,057.60x = 37,229,660.66
  5. Step 5: Solve for x
    x = 37,229,660.66/6,057.60
  6. Step 6: Final answer
    x = 6,145.94

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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.