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Finding the Fourth Proportional to 6,514.36, 9,767.76 and 5,735.92

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Solution

The fourth proportional to 6,514.36, 9,767.76 and 5,735.92 is: 8,600.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.36 : 9,767.76 = 5,735.92 : x
  2. Step 2: Convert to fraction form
    6,514.36/9,767.76 = 5,735.92/x
  3. Step 3: Cross multiply
    6,514.36x = 9,767.76 × 5,735.92
  4. Step 4: Simplify right side
    6,514.36x = 56,027,089.94
  5. Step 5: Solve for x
    x = 56,027,089.94/6,514.36
  6. Step 6: Final answer
    x = 8,600.55

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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.