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Finding the Fourth Proportional to 8,642.34, 12,947.84 and 3,966.26

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Solution

The fourth proportional to 8,642.34, 12,947.84 and 3,966.26 is: 5,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.34 : 12,947.84 = 3,966.26 : x
  2. Step 2: Convert to fraction form
    8,642.34/12,947.84 = 3,966.26/x
  3. Step 3: Cross multiply
    8,642.34x = 12,947.84 × 3,966.26
  4. Step 4: Simplify right side
    8,642.34x = 51,354,499.88
  5. Step 5: Solve for x
    x = 51,354,499.88/8,642.34
  6. Step 6: Final answer
    x = 5,942.20

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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.