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Finding the Fourth Proportional to 12,266.85, 16,928.78 and 6,962.16

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Solution

The fourth proportional to 12,266.85, 16,928.78 and 6,962.16 is: 9,608.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266.85 : 16,928.78 = 6,962.16 : x
  2. Step 2: Convert to fraction form
    12,266.85/16,928.78 = 6,962.16/x
  3. Step 3: Cross multiply
    12,266.85x = 16,928.78 × 6,962.16
  4. Step 4: Simplify right side
    12,266.85x = 117,860,942.80
  5. Step 5: Solve for x
    x = 117,860,942.80/12,266.85
  6. Step 6: Final answer
    x = 9,608.08

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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.