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Finding the Fourth Proportional to 6,115.27, 9,174.21 and 1,898.43

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Solution

The fourth proportional to 6,115.27, 9,174.21 and 1,898.43 is: 2,848.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.27 : 9,174.21 = 1,898.43 : x
  2. Step 2: Convert to fraction form
    6,115.27/9,174.21 = 1,898.43/x
  3. Step 3: Cross multiply
    6,115.27x = 9,174.21 × 1,898.43
  4. Step 4: Simplify right side
    6,115.27x = 17,416,637.01
  5. Step 5: Solve for x
    x = 17,416,637.01/6,115.27
  6. Step 6: Final answer
    x = 2,848.06

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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.