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Finding the Fourth Proportional to 12,267.12, 16,929 and 6,961.44

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Solution

The fourth proportional to 12,267.12, 16,929 and 6,961.44 is: 9,607.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,267.12 : 16,929 = 6,961.44 : x
  2. Step 2: Convert to fraction form
    12,267.12/16,929 = 6,961.44/x
  3. Step 3: Cross multiply
    12,267.12x = 16,929 × 6,961.44
  4. Step 4: Simplify right side
    12,267.12x = 117,850,217.76
  5. Step 5: Solve for x
    x = 117,850,217.76/12,267.12
  6. Step 6: Final answer
    x = 9,607.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.