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Finding the Fourth Proportional to 8,634.30, 12,952.16 and 3,638.12

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Solution

The fourth proportional to 8,634.30, 12,952.16 and 3,638.12 is: 5,457.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634.30 : 12,952.16 = 3,638.12 : x
  2. Step 2: Convert to fraction form
    8,634.30/12,952.16 = 3,638.12/x
  3. Step 3: Cross multiply
    8,634.30x = 12,952.16 × 3,638.12
  4. Step 4: Simplify right side
    8,634.30x = 47,121,512.34
  5. Step 5: Solve for x
    x = 47,121,512.34/8,634.30
  6. Step 6: Final answer
    x = 5,457.48

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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.