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Finding the Fourth Proportional to 6,514.60, 9,771.90 and 3,922.60

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Solution

The fourth proportional to 6,514.60, 9,771.90 and 3,922.60 is: 5,883.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.60 : 9,771.90 = 3,922.60 : x
  2. Step 2: Convert to fraction form
    6,514.60/9,771.90 = 3,922.60/x
  3. Step 3: Cross multiply
    6,514.60x = 9,771.90 × 3,922.60
  4. Step 4: Simplify right side
    6,514.60x = 38,331,254.94
  5. Step 5: Solve for x
    x = 38,331,254.94/6,514.60
  6. Step 6: Final answer
    x = 5,883.90

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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.