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Finding the Fourth Proportional to 6,174.14, 9,253.64 and 3,250.58

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Solution

The fourth proportional to 6,174.14, 9,253.64 and 3,250.58 is: 4,871.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.14 : 9,253.64 = 3,250.58 : x
  2. Step 2: Convert to fraction form
    6,174.14/9,253.64 = 3,250.58/x
  3. Step 3: Cross multiply
    6,174.14x = 9,253.64 × 3,250.58
  4. Step 4: Simplify right side
    6,174.14x = 30,079,697.11
  5. Step 5: Solve for x
    x = 30,079,697.11/6,174.14
  6. Step 6: Final answer
    x = 4,871.88

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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.