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Finding the Fourth Proportional to 6,101.40, 9,142.26 and 5,129.40

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Solution

The fourth proportional to 6,101.40, 9,142.26 and 5,129.40 is: 7,685.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.40 : 9,142.26 = 5,129.40 : x
  2. Step 2: Convert to fraction form
    6,101.40/9,142.26 = 5,129.40/x
  3. Step 3: Cross multiply
    6,101.40x = 9,142.26 × 5,129.40
  4. Step 4: Simplify right side
    6,101.40x = 46,894,308.44
  5. Step 5: Solve for x
    x = 46,894,308.44/6,101.40
  6. Step 6: Final answer
    x = 7,685.83

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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.