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Finding the Fourth Proportional to 9,682.92, 13,344.24 and 6,693.42

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Solution

The fourth proportional to 9,682.92, 13,344.24 and 6,693.42 is: 9,224.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.92 : 13,344.24 = 6,693.42 : x
  2. Step 2: Convert to fraction form
    9,682.92/13,344.24 = 6,693.42/x
  3. Step 3: Cross multiply
    9,682.92x = 13,344.24 × 6,693.42
  4. Step 4: Simplify right side
    9,682.92x = 89,318,602.90
  5. Step 5: Solve for x
    x = 89,318,602.90/9,682.92
  6. Step 6: Final answer
    x = 9,224.35

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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.