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Finding the Fourth Proportional to 6,164.34, 9,239.82 and 2,995.08

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Solution

The fourth proportional to 6,164.34, 9,239.82 and 2,995.08 is: 4,489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.34 : 9,239.82 = 2,995.08 : x
  2. Step 2: Convert to fraction form
    6,164.34/9,239.82 = 2,995.08/x
  3. Step 3: Cross multiply
    6,164.34x = 9,239.82 × 2,995.08
  4. Step 4: Simplify right side
    6,164.34x = 27,674,000.09
  5. Step 5: Solve for x
    x = 27,674,000.09/6,164.34
  6. Step 6: Final answer
    x = 4,489.37

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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.