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Finding the Fourth Proportional to 6,136.72, 9,204.84 and 1,519.72

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Solution

The fourth proportional to 6,136.72, 9,204.84 and 1,519.72 is: 2,279.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.72 : 9,204.84 = 1,519.72 : x
  2. Step 2: Convert to fraction form
    6,136.72/9,204.84 = 1,519.72/x
  3. Step 3: Cross multiply
    6,136.72x = 9,204.84 × 1,519.72
  4. Step 4: Simplify right side
    6,136.72x = 13,988,779.44
  5. Step 5: Solve for x
    x = 13,988,779.44/6,136.72
  6. Step 6: Final answer
    x = 2,279.52

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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.