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Finding the Fourth Proportional to 9,516.56, 13,120.26 and 7,808.81

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Solution

The fourth proportional to 9,516.56, 13,120.26 and 7,808.81 is: 10,765.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516.56 : 13,120.26 = 7,808.81 : x
  2. Step 2: Convert to fraction form
    9,516.56/13,120.26 = 7,808.81/x
  3. Step 3: Cross multiply
    9,516.56x = 13,120.26 × 7,808.81
  4. Step 4: Simplify right side
    9,516.56x = 102,453,566.53
  5. Step 5: Solve for x
    x = 102,453,566.53/9,516.56
  6. Step 6: Final answer
    x = 10,765.83

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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.