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Finding the Fourth Proportional to 9,516.68, 13,124.29 and 8,171.83

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Solution

The fourth proportional to 9,516.68, 13,124.29 and 8,171.83 is: 11,269.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516.68 : 13,124.29 = 8,171.83 : x
  2. Step 2: Convert to fraction form
    9,516.68/13,124.29 = 8,171.83/x
  3. Step 3: Cross multiply
    9,516.68x = 13,124.29 × 8,171.83
  4. Step 4: Simplify right side
    9,516.68x = 107,249,440.13
  5. Step 5: Solve for x
    x = 107,249,440.13/9,516.68
  6. Step 6: Final answer
    x = 11,269.63

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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.