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Finding the Fourth Proportional to 6,342.60, 9,514.76 and 5,992.85

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Solution

The fourth proportional to 6,342.60, 9,514.76 and 5,992.85 is: 8,990.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.60 : 9,514.76 = 5,992.85 : x
  2. Step 2: Convert to fraction form
    6,342.60/9,514.76 = 5,992.85/x
  3. Step 3: Cross multiply
    6,342.60x = 9,514.76 × 5,992.85
  4. Step 4: Simplify right side
    6,342.60x = 57,020,529.47
  5. Step 5: Solve for x
    x = 57,020,529.47/6,342.60
  6. Step 6: Final answer
    x = 8,990.09

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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.