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Finding the Fourth Proportional to 6,129.40, 9,194.10 and 5,108.80

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Solution

The fourth proportional to 6,129.40, 9,194.10 and 5,108.80 is: 7,663.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.40 : 9,194.10 = 5,108.80 : x
  2. Step 2: Convert to fraction form
    6,129.40/9,194.10 = 5,108.80/x
  3. Step 3: Cross multiply
    6,129.40x = 9,194.10 × 5,108.80
  4. Step 4: Simplify right side
    6,129.40x = 46,970,818.08
  5. Step 5: Solve for x
    x = 46,970,818.08/6,129.40
  6. Step 6: Final answer
    x = 7,663.20

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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.