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Finding the Fourth Proportional to 8,433.93, 12,649.08 and 2,509.38

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Solution

The fourth proportional to 8,433.93, 12,649.08 and 2,509.38 is: 3,763.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433.93 : 12,649.08 = 2,509.38 : x
  2. Step 2: Convert to fraction form
    8,433.93/12,649.08 = 2,509.38/x
  3. Step 3: Cross multiply
    8,433.93x = 12,649.08 × 2,509.38
  4. Step 4: Simplify right side
    8,433.93x = 31,741,348.37
  5. Step 5: Solve for x
    x = 31,741,348.37/8,433.93
  6. Step 6: Final answer
    x = 3,763.53

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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.