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Finding the Fourth Proportional to 6,309.59, 9,457.49 and 2,609.84

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Solution

The fourth proportional to 6,309.59, 9,457.49 and 2,609.84 is: 3,911.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.59 : 9,457.49 = 2,609.84 : x
  2. Step 2: Convert to fraction form
    6,309.59/9,457.49 = 2,609.84/x
  3. Step 3: Cross multiply
    6,309.59x = 9,457.49 × 2,609.84
  4. Step 4: Simplify right side
    6,309.59x = 24,682,565.87
  5. Step 5: Solve for x
    x = 24,682,565.87/6,309.59
  6. Step 6: Final answer
    x = 3,911.92

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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.