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Finding the Fourth Proportional to 9,673.69, 14,511.38 and 2,748.19

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Solution

The fourth proportional to 9,673.69, 14,511.38 and 2,748.19 is: 4,122.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.69 : 14,511.38 = 2,748.19 : x
  2. Step 2: Convert to fraction form
    9,673.69/14,511.38 = 2,748.19/x
  3. Step 3: Cross multiply
    9,673.69x = 14,511.38 × 2,748.19
  4. Step 4: Simplify right side
    9,673.69x = 39,879,979.38
  5. Step 5: Solve for x
    x = 39,879,979.38/9,673.69
  6. Step 6: Final answer
    x = 4,122.52

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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.