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Finding the Fourth Proportional to 6,457.72, 9,669.18 and 4,105

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Solution

The fourth proportional to 6,457.72, 9,669.18 and 4,105 is: 6,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.72 : 9,669.18 = 4,105 : x
  2. Step 2: Convert to fraction form
    6,457.72/9,669.18 = 4,105/x
  3. Step 3: Cross multiply
    6,457.72x = 9,669.18 × 4,105
  4. Step 4: Simplify right side
    6,457.72x = 39,691,983.90
  5. Step 5: Solve for x
    x = 39,691,983.90/6,457.72
  6. Step 6: Final answer
    x = 6,146.44

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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.