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Finding the Fourth Proportional to 6,514.74, 9,765.09 and 2,818.71

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Solution

The fourth proportional to 6,514.74, 9,765.09 and 2,818.71 is: 4,225.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.74 : 9,765.09 = 2,818.71 : x
  2. Step 2: Convert to fraction form
    6,514.74/9,765.09 = 2,818.71/x
  3. Step 3: Cross multiply
    6,514.74x = 9,765.09 × 2,818.71
  4. Step 4: Simplify right side
    6,514.74x = 27,524,956.83
  5. Step 5: Solve for x
    x = 27,524,956.83/6,514.74
  6. Step 6: Final answer
    x = 4,225.03

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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.