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Finding the Fourth Proportional to 8,649.36, 12,971.94 and 3,966.45

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Solution

The fourth proportional to 8,649.36, 12,971.94 and 3,966.45 is: 5,948.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.36 : 12,971.94 = 3,966.45 : x
  2. Step 2: Convert to fraction form
    8,649.36/12,971.94 = 3,966.45/x
  3. Step 3: Cross multiply
    8,649.36x = 12,971.94 × 3,966.45
  4. Step 4: Simplify right side
    8,649.36x = 51,452,551.41
  5. Step 5: Solve for x
    x = 51,452,551.41/8,649.36
  6. Step 6: Final answer
    x = 5,948.71

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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.