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Finding the Fourth Proportional to 6,171.72, 9,259.86 and 2,885.88

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Solution

The fourth proportional to 6,171.72, 9,259.86 and 2,885.88 is: 4,329.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.72 : 9,259.86 = 2,885.88 : x
  2. Step 2: Convert to fraction form
    6,171.72/9,259.86 = 2,885.88/x
  3. Step 3: Cross multiply
    6,171.72x = 9,259.86 × 2,885.88
  4. Step 4: Simplify right side
    6,171.72x = 26,722,844.78
  5. Step 5: Solve for x
    x = 26,722,844.78/6,171.72
  6. Step 6: Final answer
    x = 4,329.89

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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.