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Finding the Fourth Proportional to 6,098.10, 9,129.33 and 5,514.44

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Solution

The fourth proportional to 6,098.10, 9,129.33 and 5,514.44 is: 8,255.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.10 : 9,129.33 = 5,514.44 : x
  2. Step 2: Convert to fraction form
    6,098.10/9,129.33 = 5,514.44/x
  3. Step 3: Cross multiply
    6,098.10x = 9,129.33 × 5,514.44
  4. Step 4: Simplify right side
    6,098.10x = 50,343,165.35
  5. Step 5: Solve for x
    x = 50,343,165.35/6,098.10
  6. Step 6: Final answer
    x = 8,255.55

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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.