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Finding the Fourth Proportional to 6,452.68, 9,676.50 and 4,110.61

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Solution

The fourth proportional to 6,452.68, 9,676.50 and 4,110.61 is: 6,164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.68 : 9,676.50 = 4,110.61 : x
  2. Step 2: Convert to fraction form
    6,452.68/9,676.50 = 4,110.61/x
  3. Step 3: Cross multiply
    6,452.68x = 9,676.50 × 4,110.61
  4. Step 4: Simplify right side
    6,452.68x = 39,776,317.67
  5. Step 5: Solve for x
    x = 39,776,317.67/6,452.68
  6. Step 6: Final answer
    x = 6,164.31

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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.