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Finding the Fourth Proportional to 6,514.90, 9,767.18 and 2,814.55

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Solution

The fourth proportional to 6,514.90, 9,767.18 and 2,814.55 is: 4,219.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.90 : 9,767.18 = 2,814.55 : x
  2. Step 2: Convert to fraction form
    6,514.90/9,767.18 = 2,814.55/x
  3. Step 3: Cross multiply
    6,514.90x = 9,767.18 × 2,814.55
  4. Step 4: Simplify right side
    6,514.90x = 27,490,199.09
  5. Step 5: Solve for x
    x = 27,490,199.09/6,514.90
  6. Step 6: Final answer
    x = 4,219.59

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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.