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Finding the Fourth Proportional to 9,382.80, 14,074.74 and 3,143.64

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Solution

The fourth proportional to 9,382.80, 14,074.74 and 3,143.64 is: 4,715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.80 : 14,074.74 = 3,143.64 : x
  2. Step 2: Convert to fraction form
    9,382.80/14,074.74 = 3,143.64/x
  3. Step 3: Cross multiply
    9,382.80x = 14,074.74 × 3,143.64
  4. Step 4: Simplify right side
    9,382.80x = 44,245,915.65
  5. Step 5: Solve for x
    x = 44,245,915.65/9,382.80
  6. Step 6: Final answer
    x = 4,715.64

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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.