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Finding the Fourth Proportional to 6,065.25, 8,369.96 and 3,412.65

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Solution

The fourth proportional to 6,065.25, 8,369.96 and 3,412.65 is: 4,709.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.25 : 8,369.96 = 3,412.65 : x
  2. Step 2: Convert to fraction form
    6,065.25/8,369.96 = 3,412.65/x
  3. Step 3: Cross multiply
    6,065.25x = 8,369.96 × 3,412.65
  4. Step 4: Simplify right side
    6,065.25x = 28,563,726.93
  5. Step 5: Solve for x
    x = 28,563,726.93/6,065.25
  6. Step 6: Final answer
    x = 4,709.41

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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.