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Finding the Fourth Proportional to 8,649.73, 12,972.51 and 3,966.81

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Solution

The fourth proportional to 8,649.73, 12,972.51 and 3,966.81 is: 5,949.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.73 : 12,972.51 = 3,966.81 : x
  2. Step 2: Convert to fraction form
    8,649.73/12,972.51 = 3,966.81/x
  3. Step 3: Cross multiply
    8,649.73x = 12,972.51 × 3,966.81
  4. Step 4: Simplify right side
    8,649.73x = 51,459,482.39
  5. Step 5: Solve for x
    x = 51,459,482.39/8,649.73
  6. Step 6: Final answer
    x = 5,949.26

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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.