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Finding the Fourth Proportional to 6,094.80, 9,133.56 and 3,457.44

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Solution

The fourth proportional to 6,094.80, 9,133.56 and 3,457.44 is: 5,181.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.80 : 9,133.56 = 3,457.44 : x
  2. Step 2: Convert to fraction form
    6,094.80/9,133.56 = 3,457.44/x
  3. Step 3: Cross multiply
    6,094.80x = 9,133.56 × 3,457.44
  4. Step 4: Simplify right side
    6,094.80x = 31,578,735.69
  5. Step 5: Solve for x
    x = 31,578,735.69/6,094.80
  6. Step 6: Final answer
    x = 5,181.26

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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.