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Finding the Fourth Proportional to 6,090.44, 9,136.08 and 1,930.64

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Solution

The fourth proportional to 6,090.44, 9,136.08 and 1,930.64 is: 2,896.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.44 : 9,136.08 = 1,930.64 : x
  2. Step 2: Convert to fraction form
    6,090.44/9,136.08 = 1,930.64/x
  3. Step 3: Cross multiply
    6,090.44x = 9,136.08 × 1,930.64
  4. Step 4: Simplify right side
    6,090.44x = 17,638,435.81
  5. Step 5: Solve for x
    x = 17,638,435.81/6,090.44
  6. Step 6: Final answer
    x = 2,896.09

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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.