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Finding the Fourth Proportional to 9,382.71, 14,070.60 and 2,806.65

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Solution

The fourth proportional to 9,382.71, 14,070.60 and 2,806.65 is: 4,208.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.71 : 14,070.60 = 2,806.65 : x
  2. Step 2: Convert to fraction form
    9,382.71/14,070.60 = 2,806.65/x
  3. Step 3: Cross multiply
    9,382.71x = 14,070.60 × 2,806.65
  4. Step 4: Simplify right side
    9,382.71x = 39,491,249.49
  5. Step 5: Solve for x
    x = 39,491,249.49/9,382.71
  6. Step 6: Final answer
    x = 4,208.94

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Why These Related Problems?

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