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Finding the Fourth Proportional to 9,494.96, 13,099.56 and 5,956.88

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Solution

The fourth proportional to 9,494.96, 13,099.56 and 5,956.88 is: 8,218.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.96 : 13,099.56 = 5,956.88 : x
  2. Step 2: Convert to fraction form
    9,494.96/13,099.56 = 5,956.88/x
  3. Step 3: Cross multiply
    9,494.96x = 13,099.56 × 5,956.88
  4. Step 4: Simplify right side
    9,494.96x = 78,032,506.97
  5. Step 5: Solve for x
    x = 78,032,506.97/9,494.96
  6. Step 6: Final answer
    x = 8,218.31

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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.