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Finding the Fourth Proportional to 6,239.09, 8,609.85 and 3,406.50

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Solution

The fourth proportional to 6,239.09, 8,609.85 and 3,406.50 is: 4,700.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,239.09 : 8,609.85 = 3,406.50 : x
  2. Step 2: Convert to fraction form
    6,239.09/8,609.85 = 3,406.50/x
  3. Step 3: Cross multiply
    6,239.09x = 8,609.85 × 3,406.50
  4. Step 4: Simplify right side
    6,239.09x = 29,329,454.03
  5. Step 5: Solve for x
    x = 29,329,454.03/6,239.09
  6. Step 6: Final answer
    x = 4,700.92

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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.