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Finding the Fourth Proportional to 6,514.60, 9,767.56 and 3,052.84

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Solution

The fourth proportional to 6,514.60, 9,767.56 and 3,052.84 is: 4,577.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.60 : 9,767.56 = 3,052.84 : x
  2. Step 2: Convert to fraction form
    6,514.60/9,767.56 = 3,052.84/x
  3. Step 3: Cross multiply
    6,514.60x = 9,767.56 × 3,052.84
  4. Step 4: Simplify right side
    6,514.60x = 29,818,797.87
  5. Step 5: Solve for x
    x = 29,818,797.87/6,514.60
  6. Step 6: Final answer
    x = 4,577.23

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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.