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Finding the Fourth Proportional to 8,438.81, 12,649.32 and 3,170.39

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Solution

The fourth proportional to 8,438.81, 12,649.32 and 3,170.39 is: 4,752.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.81 : 12,649.32 = 3,170.39 : x
  2. Step 2: Convert to fraction form
    8,438.81/12,649.32 = 3,170.39/x
  3. Step 3: Cross multiply
    8,438.81x = 12,649.32 × 3,170.39
  4. Step 4: Simplify right side
    8,438.81x = 40,103,214.39
  5. Step 5: Solve for x
    x = 40,103,214.39/8,438.81
  6. Step 6: Final answer
    x = 4,752.24

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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.