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Finding the Fourth Proportional to 6,065.27, 8,370.12 and 3,412.94

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Solution

The fourth proportional to 6,065.27, 8,370.12 and 3,412.94 is: 4,709.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.27 : 8,370.12 = 3,412.94 : x
  2. Step 2: Convert to fraction form
    6,065.27/8,370.12 = 3,412.94/x
  3. Step 3: Cross multiply
    6,065.27x = 8,370.12 × 3,412.94
  4. Step 4: Simplify right side
    6,065.27x = 28,566,717.35
  5. Step 5: Solve for x
    x = 28,566,717.35/6,065.27
  6. Step 6: Final answer
    x = 4,709.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.