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Finding the Fourth Proportional to 6,105.32, 9,143.73 and 4,457.78

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Solution

The fourth proportional to 6,105.32, 9,143.73 and 4,457.78 is: 6,676.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.32 : 9,143.73 = 4,457.78 : x
  2. Step 2: Convert to fraction form
    6,105.32/9,143.73 = 4,457.78/x
  3. Step 3: Cross multiply
    6,105.32x = 9,143.73 × 4,457.78
  4. Step 4: Simplify right side
    6,105.32x = 40,760,691.00
  5. Step 5: Solve for x
    x = 40,760,691.00/6,105.32
  6. Step 6: Final answer
    x = 6,676.26

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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.