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Finding the Fourth Proportional to 6,129.68, 9,196.26 and 3,010.58

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Solution

The fourth proportional to 6,129.68, 9,196.26 and 3,010.58 is: 4,516.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.68 : 9,196.26 = 3,010.58 : x
  2. Step 2: Convert to fraction form
    6,129.68/9,196.26 = 3,010.58/x
  3. Step 3: Cross multiply
    6,129.68x = 9,196.26 × 3,010.58
  4. Step 4: Simplify right side
    6,129.68x = 27,686,099.42
  5. Step 5: Solve for x
    x = 27,686,099.42/6,129.68
  6. Step 6: Final answer
    x = 4,516.73

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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.