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Finding the Fourth Proportional to 6,169.72, 9,256.86 and 2,883.88

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Solution

The fourth proportional to 6,169.72, 9,256.86 and 2,883.88 is: 4,326.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.72 : 9,256.86 = 2,883.88 : x
  2. Step 2: Convert to fraction form
    6,169.72/9,256.86 = 2,883.88/x
  3. Step 3: Cross multiply
    6,169.72x = 9,256.86 × 2,883.88
  4. Step 4: Simplify right side
    6,169.72x = 26,695,673.42
  5. Step 5: Solve for x
    x = 26,695,673.42/6,169.72
  6. Step 6: Final answer
    x = 4,326.89

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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.