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Finding the Fourth Proportional to 6,166.72, 9,249 and 1,784.80

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Solution

The fourth proportional to 6,166.72, 9,249 and 1,784.80 is: 2,676.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.72 : 9,249 = 1,784.80 : x
  2. Step 2: Convert to fraction form
    6,166.72/9,249 = 1,784.80/x
  3. Step 3: Cross multiply
    6,166.72x = 9,249 × 1,784.80
  4. Step 4: Simplify right side
    6,166.72x = 16,507,615.20
  5. Step 5: Solve for x
    x = 16,507,615.20/6,166.72
  6. Step 6: Final answer
    x = 2,676.89

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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.