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Finding the Fourth Proportional to 9,046.17, 13,571.73 and 8,178.66

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Solution

The fourth proportional to 9,046.17, 13,571.73 and 8,178.66 is: 12,270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.17 : 13,571.73 = 8,178.66 : x
  2. Step 2: Convert to fraction form
    9,046.17/13,571.73 = 8,178.66/x
  3. Step 3: Cross multiply
    9,046.17x = 13,571.73 × 8,178.66
  4. Step 4: Simplify right side
    9,046.17x = 110,998,565.28
  5. Step 5: Solve for x
    x = 110,998,565.28/9,046.17
  6. Step 6: Final answer
    x = 12,270.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.