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Finding the Fourth Proportional to 9,682.72, 14,492.08 and 8,331.04

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Solution

The fourth proportional to 9,682.72, 14,492.08 and 8,331.04 is: 12,469.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.72 : 14,492.08 = 8,331.04 : x
  2. Step 2: Convert to fraction form
    9,682.72/14,492.08 = 8,331.04/x
  3. Step 3: Cross multiply
    9,682.72x = 14,492.08 × 8,331.04
  4. Step 4: Simplify right side
    9,682.72x = 120,734,098.16
  5. Step 5: Solve for x
    x = 120,734,098.16/9,682.72
  6. Step 6: Final answer
    x = 12,469.03

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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.