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Finding the Fourth Proportional to 9,184.87, 12,674.68 and 4,993.12

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Solution

The fourth proportional to 9,184.87, 12,674.68 and 4,993.12 is: 6,890.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.87 : 12,674.68 = 4,993.12 : x
  2. Step 2: Convert to fraction form
    9,184.87/12,674.68 = 4,993.12/x
  3. Step 3: Cross multiply
    9,184.87x = 12,674.68 × 4,993.12
  4. Step 4: Simplify right side
    9,184.87x = 63,286,198.20
  5. Step 5: Solve for x
    x = 63,286,198.20/9,184.87
  6. Step 6: Final answer
    x = 6,890.27

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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.