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Finding the Fourth Proportional to 6,064.39, 8,369.65 and 3,412.33

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Solution

The fourth proportional to 6,064.39, 8,369.65 and 3,412.33 is: 4,709.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,064.39 : 8,369.65 = 3,412.33 : x
  2. Step 2: Convert to fraction form
    6,064.39/8,369.65 = 3,412.33/x
  3. Step 3: Cross multiply
    6,064.39x = 8,369.65 × 3,412.33
  4. Step 4: Simplify right side
    6,064.39x = 28,560,000.72
  5. Step 5: Solve for x
    x = 28,560,000.72/6,064.39
  6. Step 6: Final answer
    x = 4,709.46

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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.