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Finding the Fourth Proportional to 9,682.43, 13,374.26 and 7,471.62

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Solution

The fourth proportional to 9,682.43, 13,374.26 and 7,471.62 is: 10,320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.43 : 13,374.26 = 7,471.62 : x
  2. Step 2: Convert to fraction form
    9,682.43/13,374.26 = 7,471.62/x
  3. Step 3: Cross multiply
    9,682.43x = 13,374.26 × 7,471.62
  4. Step 4: Simplify right side
    9,682.43x = 99,927,351.14
  5. Step 5: Solve for x
    x = 99,927,351.14/9,682.43
  6. Step 6: Final answer
    x = 10,320.49

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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.