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Finding the Fourth Proportional to 9,606.56, 13,257.06 and 5,414.81

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Solution

The fourth proportional to 9,606.56, 13,257.06 and 5,414.81 is: 7,472.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.56 : 13,257.06 = 5,414.81 : x
  2. Step 2: Convert to fraction form
    9,606.56/13,257.06 = 5,414.81/x
  3. Step 3: Cross multiply
    9,606.56x = 13,257.06 × 5,414.81
  4. Step 4: Simplify right side
    9,606.56x = 71,784,473.90
  5. Step 5: Solve for x
    x = 71,784,473.90/9,606.56
  6. Step 6: Final answer
    x = 7,472.44

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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.