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Finding the Fourth Proportional to 6,295.15, 9,434.63 and 2,599.97

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Solution

The fourth proportional to 6,295.15, 9,434.63 and 2,599.97 is: 3,896.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.15 : 9,434.63 = 2,599.97 : x
  2. Step 2: Convert to fraction form
    6,295.15/9,434.63 = 2,599.97/x
  3. Step 3: Cross multiply
    6,295.15x = 9,434.63 × 2,599.97
  4. Step 4: Simplify right side
    6,295.15x = 24,529,741.96
  5. Step 5: Solve for x
    x = 24,529,741.96/6,295.15
  6. Step 6: Final answer
    x = 3,896.61

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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.