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Finding the Fourth Proportional to 9,506.96, 13,113.99 and 5,964.02

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Solution

The fourth proportional to 9,506.96, 13,113.99 and 5,964.02 is: 8,226.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.96 : 13,113.99 = 5,964.02 : x
  2. Step 2: Convert to fraction form
    9,506.96/13,113.99 = 5,964.02/x
  3. Step 3: Cross multiply
    9,506.96x = 13,113.99 × 5,964.02
  4. Step 4: Simplify right side
    9,506.96x = 78,212,033.07
  5. Step 5: Solve for x
    x = 78,212,033.07/9,506.96
  6. Step 6: Final answer
    x = 8,226.82

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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.