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Finding the Fourth Proportional to 6,126.68, 9,197.48 and 4,048.44

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Solution

The fourth proportional to 6,126.68, 9,197.48 and 4,048.44 is: 6,077.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,126.68 : 9,197.48 = 4,048.44 : x
  2. Step 2: Convert to fraction form
    6,126.68/9,197.48 = 4,048.44/x
  3. Step 3: Cross multiply
    6,126.68x = 9,197.48 × 4,048.44
  4. Step 4: Simplify right side
    6,126.68x = 37,235,445.93
  5. Step 5: Solve for x
    x = 37,235,445.93/6,126.68
  6. Step 6: Final answer
    x = 6,077.59

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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.