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Finding the Fourth Proportional to 9,366.69, 13,981.71 and 8,184.37

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Solution

The fourth proportional to 9,366.69, 13,981.71 and 8,184.37 is: 12,216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,366.69 : 13,981.71 = 8,184.37 : x
  2. Step 2: Convert to fraction form
    9,366.69/13,981.71 = 8,184.37/x
  3. Step 3: Cross multiply
    9,366.69x = 13,981.71 × 8,184.37
  4. Step 4: Simplify right side
    9,366.69x = 114,431,487.87
  5. Step 5: Solve for x
    x = 114,431,487.87/9,366.69
  6. Step 6: Final answer
    x = 12,216.85

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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.