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Finding the Fourth Proportional to 9,171.72, 13,689.72 and 8,011.26

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Solution

The fourth proportional to 9,171.72, 13,689.72 and 8,011.26 is: 11,957.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.72 : 13,689.72 = 8,011.26 : x
  2. Step 2: Convert to fraction form
    9,171.72/13,689.72 = 8,011.26/x
  3. Step 3: Cross multiply
    9,171.72x = 13,689.72 × 8,011.26
  4. Step 4: Simplify right side
    9,171.72x = 109,671,906.25
  5. Step 5: Solve for x
    x = 109,671,906.25/9,171.72
  6. Step 6: Final answer
    x = 11,957.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.