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Finding the Fourth Proportional to 9,683.33, 14,511.14 and 5,514.73

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Solution

The fourth proportional to 9,683.33, 14,511.14 and 5,514.73 is: 8,264.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.33 : 14,511.14 = 5,514.73 : x
  2. Step 2: Convert to fraction form
    9,683.33/14,511.14 = 5,514.73/x
  3. Step 3: Cross multiply
    9,683.33x = 14,511.14 × 5,514.73
  4. Step 4: Simplify right side
    9,683.33x = 80,024,975.92
  5. Step 5: Solve for x
    x = 80,024,975.92/9,683.33
  6. Step 6: Final answer
    x = 8,264.20

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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.