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Finding the Fourth Proportional to 8,196.34, 12,293.30 and 3,001

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Solution

The fourth proportional to 8,196.34, 12,293.30 and 3,001 is: 4,501.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.34 : 12,293.30 = 3,001 : x
  2. Step 2: Convert to fraction form
    8,196.34/12,293.30 = 3,001/x
  3. Step 3: Cross multiply
    8,196.34x = 12,293.30 × 3,001
  4. Step 4: Simplify right side
    8,196.34x = 36,892,193.30
  5. Step 5: Solve for x
    x = 36,892,193.30/8,196.34
  6. Step 6: Final answer
    x = 4,501.06

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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.