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Finding the Fourth Proportional to 6,105.40, 9,158.10 and 5,457.40

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Solution

The fourth proportional to 6,105.40, 9,158.10 and 5,457.40 is: 8,186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.40 : 9,158.10 = 5,457.40 : x
  2. Step 2: Convert to fraction form
    6,105.40/9,158.10 = 5,457.40/x
  3. Step 3: Cross multiply
    6,105.40x = 9,158.10 × 5,457.40
  4. Step 4: Simplify right side
    6,105.40x = 49,979,414.94
  5. Step 5: Solve for x
    x = 49,979,414.94/6,105.40
  6. Step 6: Final answer
    x = 8,186.10

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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.