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Finding the Fourth Proportional to 9,171.16, 12,662.50 and 6,781.66

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Solution

The fourth proportional to 9,171.16, 12,662.50 and 6,781.66 is: 9,363.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.16 : 12,662.50 = 6,781.66 : x
  2. Step 2: Convert to fraction form
    9,171.16/12,662.50 = 6,781.66/x
  3. Step 3: Cross multiply
    9,171.16x = 12,662.50 × 6,781.66
  4. Step 4: Simplify right side
    9,171.16x = 85,872,769.75
  5. Step 5: Solve for x
    x = 85,872,769.75/9,171.16
  6. Step 6: Final answer
    x = 9,363.35

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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.